hmm, dont worry about equalizers and crossovers...? honestly you will want to get as much built in to the radio as possible, especially a decent equalizer and crossover because you wont always be able to install an external equalizer and even if you can a good one costs about $200 by itself. same goes for crossovers, the amp will usually have some sort of crossover but they are very basic, whereas, the ones typically built into good radios allow you to control from the drivers seat (the listening position) and usually let you chose slope and frequency. its just an overall better idea to buy the best radio you can afford even if it means waiting and holding off from buying the rest of your system.
sorry laughbot, i had to address that response first. now, back to you, you will definitely want a radio with a good equalizer because this will allow you to make even a mid level system sound really nice if you learn to use it the right way. having a good crossover built into the radio is not quite as important because your amp will have one built in already. having a crossover in the radio is just a convenience so you can adjust it while you are listening so you can judge where it should be set to give you the best sound. now, if you decide to not have your speakers on an amp then i would shoot for a radio with a better crossover, one that will allow you to have different settings for front and rear and sub.
i would classify a good equalizer as anything that has more than 7 bands, which is just the number of different points that it allows you to adjust. for example, the basic "bass, mid' and treble" in most factory radios would be a 3 band equalizer because it allows you to adjust 3 different points up or down. another acceptable equalizer would be a 3 band parametric equalizer, the parametric equalizer only allows 3 points to adjust with but it allows you to choose where those points are. this is not my favorite type of equalizer but it can be just as effective if you use it correctly. and as with any equalizer, the more bands it allows you to adjust the better you can tweak the sound to your liking. the other type of equalizer i mentioned is called a graphic" equalizer.
as for the speakers, a good price range for speakers is around $100 per set. i would spend more on the front speakers than the back speakers. by having better speakers in the front it will make your whole system sound better because these are the speakers that you will hear the most. personally i dont even have rear speakers in my truck, just a really nice set of speakers in the front doors. if you can spend $300 on speakers for example then i would spend about $200 on the front and the other 100 for some alright speakers just to fill in the sound.
choosing sub woofers is a bit more tricky, you need to ask yourself a few questions like:
1) how many sub woofers do you want?
2) how much space in your car are you willing to give up for the subs?
3) how big is your factory battery and alternator?
4) do you want to have the option to upgrade to a bigger system in the future?
those questions need to be answered. i asked about the factory battery and alternator because this is where the bass amp will get its power from and if you want a lot of power then you will likely have to upgrade your battery and alternator as well as some factory wiring to support the amount of power the new amp will need to work properly. id guess you would be safe at around 500 watts for a bass amp and 300 watts for the high amp, without needing to upgrade your stock power supply.
so with that said, a 500 watt supply will limit what you should buy. i would suggest a single 10 or 12.
depending on how much space you have available, this will also narrow down your choices because different subs need different size enclosures to perform their best. the relationship between the sub woofer and the size of the box is one of the most critical parts to getting good bass. you can choose a low end sub and install it in the perfect box and it will still sound good, but if you buy a nice sub and stick it in the wrong size box then it will most likely sound horrible or at least not as good as it should.
so, with that said, i would suggest you decide how much space you want to sacrifice, look for a pre-fabricated sub woofer box that fits where you want it, and then buy your sub based on the amount of airspace inside of your box. if you are willing and able to build your own custom sub woofer box then you can save yourself from hunting for a box that fits your sub woofer. instead you can buy whatever sub woofer you want and build a box to suit it.
as far as sub woofer qualities to look for, you want to find something with a nice stiff cone. cones made out of plastic are usually flimsy and that makes them sound distorted at high volume, there are exceptions to that statement but those sub woofers are pretty expensive. cones made out of pressed paper or aluminum or carbon fiber or woven material are nice. dont get very caught up in the size of the magnet, you want it to be a decent size compared to the size of the woofer but some companies make subs with insanely huge magnets and that just isnt necessary. you will want the power handling of the sub to be around the same as whatever amp you buy, make sure to use the RMS power rating on both sub and amp to match them up. if your sub or amp is only rated by its "MAX POWER" then dont buy it because it is piece of junk, only junk equipment is rated by its max power.
the other main spec for matching a sub to an amp is its ohm rating and the number of voice coils. the voice coil is what physically moves the cone of any speaker. sub woofers come mainly in single and dual voice coil flavors, and the only difference is that a dual voice coil sub woofer just allows you to have more options for wiring it to an amp. if you plan to buy just one sub woofer then you will want to look for a sub woofer with dual voice coils and a 2 ohm rating, which means that each coil will be 2 ohms.
a dual 2 ohm sub woofer will allow you to get the most out of any amp because you can wire the coils together to get a total ohm rating of 1 ohm. also when buying an amp to match your sub, you will be looking at the amps RMS power rating at 1 ohm. if the amp does not have a rating at 1 ohm then that usually means that it is not stable at 1 ohm. just like i explained with the ratings of high amps, bass amps will give you ratings of X amount of power at 4, 2, and 1 ohm, the power will increase every time the ohm rating gets lower, that is why i said to buy a sub that can be wired to 1 ohm, this way you will get the amps maximum power output.
i know this is a lot of information to take in but its really not that difficult, it just sounds difficult because im explaining it in detail for you.