Well telling you're mum isn't easy and I only told my mum as I kept having nightmares of her finding out in the worse possible way so I told her myself.

The term I was looking for when I was describing the finger less glove things was arm warmers. You can even make you're own if you have material you like.

Those thick rubber wristbands you are talking about here in london (England) can be found everywhere like the £store and 99p store so maybe looking in the 99c or $ store (if there is a such thing).

I'm happy to be able to help