Sorry, I have not read through every reply so I apologize if this has been said before, or more than once.

I suggest a shed box! Just some damp sphagnum moss inside a clean container with a hole cut out big enough for your BP to get in and out of comfortably, but a small enough container for her/him to feel secure (if it's tough plastic you may want to sand down the edges).

Also, I would suggest AGAINST physically helping to peel off any unshed skin, just in case it is not ready to come off (as you've stated, sometimes it feels as though it is "glued on") but rather soak in water and allow the snake to shed it off themselves.
Or if it's been on awhile and is becoming more desperate of a situation, such as with a stuck tail, try having the snake slither through a damp cloth in your hands.

As for eye caps, I have heard to bring snakes to the vet for that one, as Q-tips and other methods can be damaging to the eyes.

Best of luck with future sheds!