If you have soldering skills, you shouldn't have much problem desoldering It. If you plan on using a clip, pretty sure It's very hard to remove It from your PS3 without breaking It, so that would be only for 1 console.
Can't help with the PSP though, never used It to get on FSM...
Yes you can use the E3 with different consoles. Yes, actually you can use both. Although, I tried like 10 times with my PSP and that would'nt work, after that I tried my TI-84 Plus, and that one worked the first time.
So I would recommend you to use your TI-84 Plus Calculator.