Hi Susan: There are several methods I have used to remove paint....my favorite being a good heat-concentrating heat gun (such as the Milwaulkee). However, this can be a bit tricky if the molding is still up, as you run the risk of burning the wall and whatever is on the wall, even using the low heat setting. I would rmove the molding, take it outside and do the stripping on sawhorses. Also, make sure to get some good contour scraping tools. Home Depot caries 3 or 4 contour tools, but they are stamped metal and can scratch the wood if you're not careful. Pro paint shops (like Duron) will carry the cast scrapers in tool or high speed steel and in every imaginable contour, but they are a bit pricey.
Another method is using a liquid stripper, usually containing methylene chloride. You will still need contour scraping tools, although course steel wool should get most of the paint off.
Finally, there is a product called, I believe, Strip-eze or Peel-Away. This comes in a roll of a putty like compound stuck onto wax paper. You pull off the protective paper exposing the putty, then squish it onto the painted surface, let set and peel it off. I've only seen it used (not done it myself). It appears to be very effective, but it is expensive. Because of cost, it seems to be used mostly on very detailed surfaces like fireplace mantles and ornate furniture. I would go to a paint pro shop to find it.