Tiny bug bites, apparently from tiny red bugs?

So ever since I went to a wedding reception last weekend I've been EXTREMELY itchy and have teeny, tiny bumps on my skin. At first i thought maybe it was an allergic reaction that I didn't notice till I got home but I noticed a tiny, tiny, little blood red bug on me, AND I DIDN'T EVEN NOTICE IT BITING, I've seen one of those twice in my room and I'm wondering what it could be and how I could get rid of it. At first I thought, "OH NO BED BUGS", because i noticed some bites where in rows, but these aren't flat like bed bugs, there VERY TINY and blood red, with bums that obviously hold MY blood, and as soon as you see them the bounce off, also the bumps are tiny, and I've heard bed bugs leave large red lumps.... Some more info is that we have cats that regularly go in and out of the house, so they may have carried something and that I live in California, but the weathers been off (rainy, sunny next day etc) so maybe they're appearing because of that? ANYWAYS, the question is what are they and how do I get rid of them?