@Nicole W.
I had a similar choice to make last year. We have asbestos tiles in our basement. Most were in good condition. I did remove them from the bathroom and put in a simple vinyl floor. The rest of the basement, I left the asbestos tiles in place and put in Allure flooring (Home Depot) over top. It's super easy to install (can easily do it yourself), water resistant (We didn't want carpet), and looks really good. I probably would have done Allure in the bathroom as well, but did that first prior to knowing about the Allure product line. The tiles are pretty easy to remove, if doing yourself. I sprayed them down with some water and gently lifted them up, trying not to break them apart, and sealed them up in plastic bags. If yours are in decent shape, I would leave them in place. Pull out the ones that you have to, and fill in the gaps with a small section of vinyl stick on floor (squares), and then put Allure on top of that....