I feel extreme burning and discomfort around my anus while going to the bathroom and sometimes bleeding what could this be?

Hemorrhoids??? Pain and burning during a bowel movement can be due to hemorrhoids. However, without an examination, it is impossible to tell with certainty. Best to see your doctor to confirm the diagnosis and provide you with a treatment plan.
Pruritis or... "pruritis ani" (itching around the anus) is usually related to diet. Add a fiber supplement and decrease beer, caffeine, chocolate, dairy. Gently wash with a mild soap and pat dry. Avoid steroid creams; zinc oxide is safer. See doctor for resistant itching; other skin problems and growths must be ruled out. If these are not the problem, capsaicin ointment may help- made from hot peppers- careful!