For the dim lighting issue I generally recommend people just rewire the headlights to run off the alternator. Here's a goos writeup and info:
http://www.danielsternlighting.com/t...ys/relays.html
As for the headlights moving, make sure everything is firm and stays in it's place. There are a lot of screws and bolts in the assembly and even the smallest amount of play can cause the projected light to move a lot.