@jenniferdayle: If your house is <50 years old, it would be cheaper, quicker and less heartache to simply belt strip or replace the flooring. If you have an older home then the flooring has "character" and patina that may be worth saving. Pick a safe stripping method and have a "floor stripping" party...everyone participates! Remember that older homes have a lot of lead based paints, so make sure you check out your local codes.
You have quite a job ahead of you, here is a good How To article on some of the ways to remove the paint. Good luck with this, it is a lot of work but it could be very well worth it if you get the paint off.
This is the weirdest thing... Im in my rv in my driveway RIGHT NOW because thats what we did so all our furniture is on the balcony because we hired some people to come in sand down all the floors polish and finish them and that is one way to get paint off but its pretty expensive but if you want a nice finish..... :)
You can use a heat gun to remove the paint or a mild cleaner to avoid getting abrasive floors. You can then use a damp rag to wipe out the paint. Alcohol can also help you out in this process. You can also go to, http://www.ehow.com/how_2154401_remove-paint-from-hardwood-floors.html, for detailed information on how to remove paint from hardwood floors.