Relocating DEI 520T, 2003 TLS

I own a 2003 TLS equipped with Clifford 3.5, DEI 530T modules, DEI 506T, and DEI 520T.  I would like to relocate the DEI 520T (back up battery module) and need some quick help. 

If I unplug the DEI 520T will i set off the alarm?  Somone told me that when I unplug it, it wont' go off, but when I plug it back into the brain then it will go off.  Is this true?

If it does will simply pushing the unlock button on the key fob disengate it?

What is the proper way to do this? 

I know this should be very easy for some of you so if you could just quikcly tell me I'd be greatful. 

Thank You