Bed bug bites are absolutely awful. They come in threes, I think because the bug typically bites then crawls a little way and bites again. They stay itchy for days.
What's even worse is knowing the bugs are there, and not being able to get rid of them.
Removing a bed bug infestation is really hard so the best treatment is to not get them at all. Don't share bedding or clothes and you should be fine.