I looked for the model # of those amps and couldn't find 'BR' on the Profile site, so I'll assume the numbering is similar to their other products with each amp rated at 2 X 100 watts at 4 ohms. You can post a link to these amps. Use a relay when sharing the remote turn-on with more than two amps. Use a SPDT relay... here is a source and additional information. Also refer to the relay applications on this site ("connecting additional devices" , #30 will go out to all three amps). Refer to the links provided in this paragraph for complete how-to. You'll find a spot near the amps to install it.
Opinions about stiffening capacitors is generally one-sided (not what I would call 'mixed') on this forum, as this site is frequented by install professionals more so than other forums. If you want to put a cap in the system because you were sold one, you will want it as close to the amp that will "benefit" from its use as possible. If the cap works as you wish it to, it will store some power from the battery and release it (in milliseconds) to the amp when the music source signal demands a larger than normal peak. The cap will then recharge from the battery and store energy, releasing spikes of power as needed. Too much distance between the drawing amp and cap will defeat the purpose. You have not posted the use of the three amps, but a cap, if used, would be used only with an amp that provides sub-bass power.
That said, there are several more important things to do before a cap is installed. Make sure the overall system wiring and grounding is more than adequate for anticipated current transfer.....provide a new high current battery....provide a high output alternator (the power source)....replace the car's power and ground wiring under the hood with larger gauge....use ample gauge power and ground wiring to the audio system...clean and remove paint from chassis grounding points.....and some etc. etc.
Keep the cap ground separate from the amps (which should share the same ground point). (There may be other opinions on that). If all three amps are used for sub bass, (and you intend to use caps), each would have a cap installed just prior to the amp, after the distro block. Professionals will leave this useless clutter out of the install, as power is produced and transferred starting at the alternator.
Profile brand amps will not tolerate high current applications. Keep it simple and keep the amps at the highest ohm load possible. Keep bass boost controls set to 'OFF', keep deck controls at flat and below. Your loudest bass response should be with deck bass control at '0', and then adjust down if needed. Use the low pass filter on the amp for bass use, and set the amps up identically if all three are used for bass purposes. About 80 Hz is standard cutoff for sub bass. If one of the amps is used for highs, it will use the HPF also set to 80 Hz (or the same freq. as the LPF).
Two things you have that might be negative to your sound/install quality: the cap and the equalizer. The cap has been covered here, the equalizer should only be installed in the signal path if it is needed. Don't put it in if you can adjust sound to your liking without it. Pay more attention to speaker quality, enclosure specs/quality, placement of subs, damping of sheet metal (Dynamat, etc.).... Once you have all the things I mentioned here accomplished you'll likely find that an EQ or a cap would only detract or cause problems.
Search for threads on setting gain for more info.