Any first-hand experience? I'm guessing this would also work on a .22LR?
The only viable "suppressor host" I currently own (outside of several AR's) is a Keltec P-17.
For your centerfires, figure out what kind of mounting system you plan to use and go from there. Also keep in mind that you will need to buy a muzzle attachment to screw the suppressor to. Many don't come with direct thread adapters.
Don't use a welded .223 can on .22lr. It will work just fine, but .22 will foul the suppressor and you can't take a welded one apart to clean it. .22lr cans get gross fast! It will also be unnecessarily large compared to a .22lr can. If you still want to use one can for both calibers, try to find one that can be broken down fully for cleaning.
I suggest starting with two. A dedicated .22lr and a .30cal. A .30 will still work well on 5.56 and other rifle calibers up to 7.62. If you only plan to shoot 5.56, go for a 5.56 can. Hell, just get one .22lr can to start. Once you get one suppressor, you will want more and the situation will work itself out, lol.