I am interested in knowing how I should approach a very wet Board specifically 3 cards of the same suit on the flop when I have flopped a reasonable hand (TPTK, Set or Straight) but don't hold any card that matches the flopped cards suit and I am in early position and have 3 players left to act behind.
so lets say I hold:
A

A

and the flop comes 8

3

k
or I hold
7

J

and the flop comes 8

9

10
and finally if I hold
3

3

and the flop comes 3

9

Q
Should I bet? If so how much? Checking seems kind of a weak play but I don't want to trap myself. Should I try to get to showdown as cheaply as possible and abandon the hand if a 4th suited card comes on the turn and I get bet into?
Obviously the decisions we make will depend on the value of the 3 suited cards that come on the flop but is there a general way to approach this scenario or some specific things I should generally look for before making my decision?