Hi Inanninga. How old is your home? Asbestos was known to be present in some popcorn ceilings as late as the mid 80's. Before you do anything, please test the ceiling. You can order testing kits from many labs specializing in this form of testing. They come with step by step instructions how to take a sample. The cost is low and the results are inside of week or two.

I agree, check it out. Then I suggest the floor be removed it's a messy job, I would also recommend you consider going over top with a layer of drywall or T&G if you like that look (if possible). Drywall is Not necessarily a DIY job but it's also very inexpensive to hire out and believe me you will be glad you did it. Good luck.