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I reload those exact same calibers (plus 38/357).

I also have limited space, but was able to build a small bench and put it in my gun closet. Before that, I rigged up a mount by bolting the press to a 2x6 that I could mount with bolts and blocks to a folding work bench, and that worked reasonably well.

I have a Lee turret press, which makes for reasonably quick handgun loading, but if I was buying a new press, I might go a different direction. The Lee turret has a lot of slop, which doesn't inspire a lot of confidence in seating and crimping. Bullet seating depth actually ends up pretty consistent, but I've had issues from time to time ruining cases while roll-crimping .357 and .45-70. At some point I may splurge for a Dillon, although space will probably become an issue then.

For dies, I've gone with RCBS and Hornady as the best for the money, although both have gotten a little more expensive lately, it seems. I haven't been the biggest fan of Lee dies--my first set had some quality control problems, and I don't like the o-ring lock nut.

Components are a bit tough to find right now. The academy near me is pretty much cleaned out, and bullets (particularly 9mm) can be tough to find even online. It's a bit tough to buy online when you are starting out and experimenting, because the incentive is to buy bulk because of the HazMat fee.