This sounds very much like hemorrhoids. You can try an OTC medicine like Preparation H, which should help alleviate the itching. You can also try witch hazel, which also works as an astringent. You can always ask the next time you have your annual physical, but, if they're not causing any pain, your doctor will probably suggest focusing on your bowel movement habits (increasing fiber and water, not lingering on the toilet, etc.) and hope they go away on their own.
Hi
I've been experiencing the same thing.. It's pretty embarressing! I've had an itch and some puffy tissue, kinda is swollen comming out of my anus. Mine also has no pain, and only itching. I'm not sure if it's hemmorhoids or something else!