Striped larvae found in clothes (London, UK)

Hi there,

I was doing a thorough cleaning of my bedroom today, and after a while I noticed on my bedsheets striped larvae slowly moving around. Quite small, a few millimetres long probably. I'd never seen that before, I snapped a photo quickly before folding the bedsheets in an attempt to trap them (I'm not fond of insects): photos.app.goo.gl/BL5aBm8XjLp4JjJp8 (I have just noticed there seems to be a smaller, white larvae in the top left as well?)

I suspect the larvae actually come from a pile of clothes I had put on the side to repair/give away for a loooong time. I noticed the larvae just after I put the clothes on the bed.

Additional side information:
I recently found in other clothes some small white insects with wings that were dead, I assume they're moths. And I got some insect bites the other night but they seemed like mosquito bites.

Any help regarding what the larvae are and how I can make sure they're gone would be greatly appreciated, thanks in advance! I'm already planning to go to the dry cleaner tomorrow to wash my duvet and pillows, just in case...