Hi Deb,
Sure, you can do hypertufa/cement work in your basement. The only things to watch out for are the cement dust, which is a major irritant if you breathe it, and BE SURE not to pour any water/liquids containing any cement product down your drains, or you'll cement your drains shut! As far as curing it, keep it inside of closed trash bags during the curing period and mist it occasionally.
Be sure to post pictures of your projects for us!
