Three Card Poker has the simplest optimal strategy of any table game: after you see your three cards, play (match your Ante with the Play bet) with Queen-6-4 or better, and fold everything worse. That single rule is provably optimal.
In practice that means every ace-high and king-high hand plays, every jack-high and lower hand folds, and queen-high hands are the boundary — play Q-6-4 and up, fold below. Any pair or better always plays. Look up your exact hand below.
Always play.
Always play.
The Q-6-4 boundary — some play, some fold.
Always fold.
Any pair or better — always play.