Are there any over-the-counter painkillers that won't make me bleed profusely? what can i take that won't affect bleeding?

Tylenol (acetaminophen): Typically tylenol (acetaminophen) should be ok. However recommended daily dose is less than 3000mg unless you already have liver disease at which point i would discuss with your doctor if you should take this at all. The typical Ibuprofen and Naproxen over the counter should be less likely to cause bleeding. Aspirin is most likely otc med to cause bleeding.