I've had this problem before with a few I have rescue'd myself. First of all, to save the remaining toes that are in jeopardy of being lost, I would get a Qtip with some warm water and a diluted mixture of peroxide and warm water as well. Set aside some time to get your gecko nice and calm. (once they get to that trance state of laying on your arm or something) Carefully rub the Qtip on the unshed skin with a motion in the direction to the tip of the toe. You'll notice that the unshed skin will roll up as it works it's way down the toes. With some tedious coaxing, you should be able to give those toes a second chance.
As for the hide. I always offer a cool side hide and a warm side hide. This will allow your gecko to pick the right one for their needs. I simply give my hides a quick mist from a water bottle as needed. Proper attention and husbandry will always be your best bet. Good luck to your little guy/girl.
Landen Smith