Hi Ranma,
I’ve got a fidget cube. I also have one of those blocks that you can fold over and over again, they’re rectangular and then you can fold them into blocks, like this one:
I’ve got squishy things too. I love playing with playdoh.
I didn’t have a biting habit, but I have a cuticle picking habit that’s pretty bad.. I do it until it’s sore and bleeding. I also bounce my leg a lot, shift in my seat a lot, start playing with whatever is in my vicinity. I find that when I have these fidget toys, I am less likely to start finding stuff to pick/destroy and I stop moving around so much. It may help you take the focus off of the biting thing for you.