KK, facing two limp callers and a low flop

[Wideout88]

I dont have stats as my Pokertracker is not with me

$100 NL Texas Hold'em - Tuesday, December 27, 15:16:57 EDT 2005
Table Table 68504 (Real Money)
Seat 9 is the button
Total number of players : 10

Relevant Stacks
Seat 1: Hero ( $107 )
Seat 8: CO ( $126.25 )
Seat 10: SB ( $90.45 )
Seat 7: LP ( $82.10 )
Seat 9: Button ( $62.50 )

SB posts small blind [$0.50].
Hero posts big blind [$1].
** Dealing down cards **
Dealt to Hero [ Kd Kh ]

LP calls [$1].
CO calls [$1].
Button calls [$1].
SB calls [$0.50].
Hero raises to [$6].
LP calls [$5].
CO folds.
Button calls [$5].
SB folds.

** Dealing Flop ** [ Ts, 6c, 2h ], 3 Players ($20)

Hero bets [$13].
LP calls [$13].
Button calls [$13]

** Dealing Turn ** [ 4d ] 3 players ($59)

Hero...

Ok, so we can debate whether or not I should of raised more preflop and whether I should of bet more on the flop, but I am happy with the line I took, I bet small expecting LP to raise my flop bet, as he had been very agressive towards me since I sat down, I was hoping to get him to raise and to then get a better read on the button since I was positive LP had a weak hand, It backfired, but oh well.

Having both call me seems weird, there are no good draws on this board, so what am I up against? I thought there was a decent chance one had a set and the other had top pair, but how often do you think my KK is good on this turn?

Given this action what is your play on the turn? Lead, or check, knowing one of them is going to have to bet?