A common Scenario (Turn Play)?

You have an overpair on the flop however there are 2 suited cards. You bet and 2 people call. Now an overcard comes to your pair (an A or K) which may have given the callers the best hand however it is not the third of the suit.

What is your action? Assuming you are first to act do you bet or check to give a free card to any flush chasers?

This happens to me a lot and it would be good to know what to do and what would influence your decision.

Cheers
Liam