KK vs reg all-in on flop

Hi,
MP1 is vpip 18 y 5 pfr.
My flop bet is a bit low because I wanted him to call or raise with AK,QQ, etc...

Full Tilt Pot-Limit Hold'em, $0.25 BB (8 handed)

saw flop

MP2 ($20.65)
CO ($25)
Button ($16.18)
Hero (SB) ($27.88)
BB ($7.77)
UTG ($10.69)
UTG+1 ($25.97)
MP1 ($22.82)

Preflop: Hero is SB with
1 fold, UTG+1 calls $0.25, MP1 bets $1.10, 3 folds, Hero raises to $3.50, 2 folds, MP1 calls $2.40

Flop: ($7.50) (2 players)
Hero bets $3.50, MP1 raises to $18, Hero ?

bet larger on flop and call this shove.

Originally Posted by BankItDrew

bet larger on flop and call this shove.

What he had is hidden in white here:

I did, he had JJ. Should I bet a bit more preflop, like $3.75-4$?

i'd go 5 on the flop. and i think preflop is fine, i usually go 3x IP

hand is fine. $4.50 sets up a turn shove nicely, but $3.50 isn't a big mistake in a 3bet pot.

I think $3.5 or $3 is perfectly fine if you're trying to set up a triple barrel as played call rly quick obv.

you don't really want him to call with AsKs if you're betting 3.5 because he has plenty odds for a call
you want him to call $7
I would say flop bet sizing is a mistake because I think he's going to flat his draws instead of shoving them

all this is nitpicking, the general way you played it is fine

Thank u all for the answers. My first doubt was about if my call to the flop shove was ok, so I have the things more clear now.