KQ - bet fold or check call situation?

[POKhER]

I SUCK AT INDENTIFYING CHECK/CALL or BET/FOLD situations. Now of course Betfolding costs the same but loses a showdown. Check call can induce a bluff and also gets a showdown....

But deciding what i need to apply at showdowns is tough concept for me to learn. Maybe its not a thing you learn, and very situation specific i assume but surely theres some general "principles" you could dicuss if you were to write a book for example? I have to review river betting in SSH later.

Party Poker 1/2 Hold'em (9 handed) converter

Preflop: Hero is UTG+1 with Q[img]/images/graemlins/heart.gif[/img], K[img]/images/graemlins/heart.gif[/img].
<font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises</font>, MP1 calls, <font color="#666666">3 folds</font>, Button calls, <font color="#666666">1 fold</font>, BB calls.

Flop: (8.50 SB) J[img]/images/graemlins/spade.gif[/img], K[img]/images/graemlins/club.gif[/img], J[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(4 players)</font>
BB checks, <font color="#CC3333">Hero bets</font>, MP1 folds, Button calls, BB calls.

Turn: (5.75 BB) Q[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, <font color="#CC3333">Hero bets</font>, Button calls, BB calls.

River: (8.75 BB) T[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, Hero....?

BUTTON IS: 42/5.5/2
BB IS: 62/10/1.3

Discussion on this hand, Aswell as links/Discussion on when to value bet Vs check calling will be great