It would be a good idea to at least separate the 10 from the 12s inside the box, if you're gonna keep them all in the same enclosure. IMO only identical drivers with the same phasing and input signal can share airspace. I don't see a problem with sharing airspace for the two 12s, but the 10 needs to have its own chamber.
Next, like Karl said, look up the recommended airspace for your subs. There should have been a spec sheet that came with each sub, with the Thiele-Small parameters, recommended enclosures, and frequency response curves. Refer to that sheet to figure out what airspace volume you need, and design a box accordingly.
Now.. for your amp/wiring question.. what kind of amp is this? What is the nominal impedance (ohms) for each voice coil on your subs? What are the RMS/peak input figures for these subs? What is the minimum ohms/channel that your amp can work with? That will dictate how you wire this up. You will most likely need to have a mixed mono input signal to all 4 channels of the amp (you can't work this in stereo).
The best way I see to do it is to use each of the front channels to run both coils of a 12 (run one 12's coils in parallel to the LF channel.. other 12's coils in parallel to the RF channel)... then use each of the rear channels (with the gain turned WAY down) to power the voice coils of the 10. You really can't combine the 10 and 12s onto one circuit since they will need different gain settings.
Anyway that's all I can come up with, and my dinner's ready. Post more info about the subs and your amp and maybe I can help more.