This might be a dumb play of this hand, so please provide constructive feedback on how I could of played this hand better.

Situation:
I have pocket AA's in BB with 8 players. Four players limp into the pot at 50 cents each (.25/.50 nl table), I raise it to $2 (4 times the blind). All 4 players call the raise. The flop comes 8 10 5 two clubs. Small blind checks, I bet $4 into a $8.50 pot (half the pot). 2 players fold, and one calls. Turn card is a K of spades. I bet $5 into a $16 pot. Player calls. River is a 4 of diamonds. I bet $10 into a $26 pot. Player raises to $30. Since I have an overpair, I call. The player has K 10 and beats my overpair.

Thank you!