No personal experience to share I'm afraid but I did have a work colleague some years ago who had her tonsils removed in her 40’s IIRC.
I would follow the instructions you are given very carefully as there is, as you've correctly identified, a risk of severe bleeding afterwards. My colleague told me that after the op, if she opened her mouth wide to look at her throat she could see what looked like dark threads hanging down at the back. She asked her doctor what these were (thinking possibly stitches that would dissolve) and he said those were the blood vessels that had been tied off. So obviously care has to be taken until those heal properly. My colleague was off work for several weeks, not due to pain but because she was told she must avoid infection.
Hope all goes well for you 