I have flopped a set in a multiway pot. Flop is very coordinated. HJ and SB seems recreational players so I expect they won't bet so often after my check. Leading flop seems fine then: I protect my hand and get value from worse hands like FD, straight draws, some gutshots on Ax or 6x and rarely 2 pairs. I would like to ask about sizing if it's okay.
Do you consider check/raising this flop vs specific villains for example aggro regulars or aggro fish?

This card is super bad for me. Ax, 6x have straights now and FD have completed. I don't see any reason to bet. Now I have 10 outs to full house and quads. That gives me around 20% equity, so I can call 1/3 bet given the odds. I know the fact that we have great implied odds if we hit so what's the maximum bet sizing that would you call here?

I hit my out and now I think that villain will either call any sizing or fold so I overbet shove hoping he has flush, straight, random trips.