Theoretical post flop question

I am trying to fix what i think is a pretty serious leak in my game. Say I have AKo UTG and I bet 5x BB preflop and get 2 callers (no reads, all large stacks in comparison to blinds). Then on the flop is a K 6 3 (with two of the cards suited), I bet the pot, get, say, one caller, then the turn is another suited card, what should I do? Check (I think this shows weakness and encourages a push which I would have to fold against), bet half the pot (still looks weak as probably lower than the flop bet), bet the whole pot (bad leak??).

Also, how does the situation change if I hit trips or 2 pair rather than top pair?

If I was last to act, it makes it easier I guess, but I am still not sure of the correct way to play this.

Thoughts?