Hundreds of dark red/black dots on my bed?

For the third time now, I have come home to find hundreds of little black/red dots on my white sheets. They are tiny tiny, like poppyseeds at the largest. Today, I was also lucky enough to find a bug with the dots. The insect is about 1/16th of an inch long, and is brown/black colored. I've also found these dots once on the top of my refrigerator, and once on my mantle under my TV. I just can't figure out what to these are and what to do! Please help..