If I were just starting or restarting with my reloading, I'd probably look for W231/HP-38 to use for general purposes in my pistols and revolvers. For 9mm in particular, this would be a very flexible choice, and I've used it for loading 32s though 38s including a bunch of nines. If I were tempted to expand my powder magazine, W296/H-110 would probably come next for higher pressure loads. After that it would be "Katie bar the door" as so many good powders are out there. I'd probably go with Green Dot and AA #9 especially for my next choices as both are so versatile.
But back to the OP… it would be HP-38/W 296 hands down for the purposes you mention. I've got quite a bit stashed for the 9mms and 32 S&W Long/H&R I currently load most frequently.
Froggie
PS in reality there's nothing wrong with Bullseye or even Unique for loading the nines as you mention, but they (esp BE) have gotten pretty hard to find and don't really offer any great advantage to make them worth the search, IMHO.