nl25 sh KK vs colored flop

Everest Poker $25.00 No Limit Hold'em - 5 players - View hand 1796674
DeucesCracked Poker Videos Hand History Converter

SB: $15.40 - VPIP: 43, PFR: 12, 3B: 12, AF: 2.0, Hands: 68
BB: $25.90 - VPIP: 23, PFR: 11, 3B: 6, AF: 2.2, Hands: 1690
UTG: $8.25 - VPIP: 35, PFR: 12, 3B: 13, AF: 5.0, Hands: 17
Hero (CO): $60.54 - VPIP: 21, PFR: 15, 3B: 4, AF: 2.4, Hands: 72928
BTN: $42.50 - VPIP: 22, PFR: 18, 3B: 5, AF: 2.3, Hands: 3746

Pre Flop: ($0.40) Hero is CO with K K
1 fold, Hero raises to $0.70, BTN calls $0.70, 2 folds

Flop: ($1.80) T 2 9 (2 players)
Hero bets $1.40, BTN calls $1.40

Turn: ($4.60) 4 (2 players)
Hero bets $2.00, BTN calls $2

River: ($8.60) 4 (2 players)
Hero checks, BTN bets $5.80, Hero calls $5.80

What you think about my play and the bet sizes ? I checked the river so the opponent could bluff me.And i wouldn 't call a reraise if i bet there.Flush possible on flop and maybe a set which could give a full house.Should i not call the river ?I bet quite small on turn to keep the pot small.

Thanks !