Throwing a poke check before or as he receives the puck would be ideal, I suppose; deny him possession in the first place.
Like coop said though, if you make the first move you'll probably get beat, so keeping your feet and reacting to his moves as he makes them is key.
Moving to the left would be a terrible idea; it takes your body away from the puck and gives him an easy backhand to your right side if you do that.
Adjusting *slightly* to your right would make you more square to the puck and take away some of his options, forcing him to try and stuff the puck under your pads or go around to your left side. The important thing here is keeping your feet, so that if he tries to fake you're not caught sliding away from the puck.
Given how close to the net he is, and how comfortable you are playing inside your crease, backing up a little bit wouldn't be the worst idea. It would give you a bit more time to see what he's doing, so you're less likely to bite on a fake, but obviously it opens up more of the net to a shot. (not much, given how close he is to you, but some)