For heads up, my strategy is generally to play button as strong as possible. I will 3 bet virtually any hand when in position. The good thing is he will fold some hands, earning free blinds. Second of all, the hands he calls, you can continuation bet on the flop if he checks, because you have position. And if he raises, well depending on your hand, you can call it, fold it, but sometimes have a great ahnd and reraise.. Also if you think he is bluffing you because you reaise too much, you can reraise bluff.

Just my way of playing. When first to act, i genrally play the connected cards and high cards, and am more likely to limp in.