Hey there! I have removed/installed RAM many, many times and have never used any sort of static protection. I honestly think it's very rare for someone's body to produce a big enough charge to damage anything in there. Unless maybe you have some wicked shag carpet that really builds up a charge in your body!

It's really easy, don't be scared! Use the static bracelet thing if it makes you more comfortable, but I personally have never had any problems with the way I do it. Installing components in a computer is really a lot easier than you think. I'd say it's only a step or two above playing with Legos.