The pool I swim at doesn't permit fins or snorkels in public sessions. They do allow paddles, though, or at least nobody has asked anyone to desist while I've been there.
I would use fins and a snorkel if I could because I think they can be useful, and I occasionally use my finger paddles, which I think are beneficial. I would hesitate to use the big paddles, though. I'm planning to use my fins in the sea soon, when the water warms up a degree or so.