Live 1/2 multiway OOP TPTK

[piggity]

I find that I have no idea how I'm supposed to play these hands. Should I be jamming this kind of flop with my TPTK and BDFD? How should I proceed on the turn?

EMP opens, four players coldcall (!), and I call with AdTh in the SB. BB calls. 7 players to the flop of

T87, two diamonds

I bet. (?)
There are 2-3 callers, followed by a raise, a fold and a coldcall.
I reraise. (?)
All call.

Turn offsuit 9.
Now what?

Any and all comments appreciated.
Thanks.