There are a lot of useful "Double Bass Technique" books and videos. I can't name any off hand, but I'm sure a few minutes on Google will provide ample results.
Like Minion so boldly stated, practice using your left foot instead of your right, or vice-versa, depending on your "main" side. I have done that with my hi hat technique. I'll play my hi hat (left side) beat with my left hand only, and move my ride so I can use it with my left also. It really does improve the response of your weaker side.