In New York, the owner can remove and dispose of asbestos in their own property a little at a time. If it's wet, removed wet, bagged, broomed wet, and vacuumed, You're good to go. Just wear gloves, use a good respirator, bring clothes to change into after, bag the clothes you worked in (and wash immediately when home), and you should be fine. (almost exactly how the asbestos removers would do it.)