They're floaters!
Wait...what the heck's a floater, anyway? Well, a floater is a little speck of protein debris in the vitreous jelly, the jell that fills up the middle of the eye. The vitreous jelly (you may have heard it called vitreous humor in school) is very important for the development of the eye until we're about 2 years old. After that point it's really just there to cause mischief. One of the mischievious things it does is shrink.
The thing that make the vitrious a gel is the same thing that makes Jello a gel. There's a microscopic protein skeleton and as we get older that skeleton collapses upon itself. Little areas that used to be just barely microscopic are now just dense enough to be macroscopic. They form a little clump and VOILA...a floater.
So you've got floaters, what do you do about them? In time your brain will learn to ignore them. They become like background visual noise and your brain just ignores them, just like the old fashion elevator operator who didn't hear the elevator music any more because it was always there!