Bowl emptying. Something to worry about?

In the morning, I usually pass some normal-sized, well-formed stool easily with very little straining. After that, I sometimes feel that there is still some stool left, but further straining does not bring anything out. Occasionally, I need to pass stool once again later in the day. On some days, I also feel a mild tingling sensation around the anus if I strain while passing stool. If I strain a little more to try to empty my bowel completely, I can sometimes feel a small, soft tissue-like part coming slightly out of the anus. It goes back inside as soon as I stop straining. This only comes when I strain. There is no blood in the stool and I don't feel any pain in stomach. Is it something to worry about ?