As it happened i think those were both the hands the two others had, but isn't an overpair calling a large bet here?

Personally if i had KK in this position, i'd raise the flop for information and think very hard about calling a push or sizable re-raise which usually indicates two-pair/set in my experience.

I probably could've got away with a bigger bet on the flop. Saying the pre-flop raise was bad, that means i should've played the 10s for set value only?

Clar