Set of K's - Maximizing?

[Messy Harry]

I felt like I scared everyone away by leading out on the betting, but I was afraid of the straight and flush possibilities. Should I have played this differently?

As I'm looking at it now I am thinking I played it correctly because if I play it slowly and try to maximize profit, the hands the other players are likely to make will beat my set. Am I on the right path?

Party Poker 0.50/1 Hold'em (8 handed)

Preflop: Hero is UTG+1 with K[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/heart.gif[/img].
UTG folds, <font color="CC3333">Hero raises</font>, MP1 folds, MP2 calls, <font color="CC3333">CO 3-bets</font>, Button folds, SB folds, BB folds, <font color="CC3333">Hero caps</font>, MP2 calls, CO calls.

Flop: (13.50 SB) T[img]/images/graemlins/club.gif[/img], 9[img]/images/graemlins/spade.gif[/img], K[img]/images/graemlins/spade.gif[/img] <font color="blue">(3 players)</font>
<font color="CC3333">Hero bets</font>, MP2 folds, CO calls.

Turn: (7.75 BB) 5[img]/images/graemlins/heart.gif[/img] <font color="blue">(2 players)</font>
<font color="CC3333">Hero bets</font>, CO folds.

Final Pot: 8.75 BB