If you need to hide it....
then my vote goes to the Mak. Shooting my CZ next to my friends Mak, it is a much nicer to shoot. I mean the ergo's of the grip, recoil, sights, capacity (13 rounders are $25), trigger. The downside of the CZ is it's size. More potent, smaller packages exist.
I've only put reloads and LVE through mine to date, but it has yet to hicup, I hear the same about the mak.
Sorry, no experience with the PA-63
As to caliber I'd say
Self defense 9x19. If you are stuck with these two calibers I'd take 10 rnds (or 13) of the marginally inferior .380 over the 8 rnds of 9x18.
380's more available compared to 9x18
Plinking .380 might be easier to get if you are not on the net. Good deals are to be had for both the 9x17 and 9x18 on the net.