• Blogger (free): Google-owned, so it’ll be around for a while, and rather easy to setup and add/remove stuff. The templates are rather basic, but probably enough for what you need, and you can see a pretty nice example at http://glutenfreegirl.blogspot.com/.
• Wordpress (free): Popular, and likely a bit more customizable (and perhaps technical), they’ve been around for a long time. See http://wordpress.com/ and click on the “features” to read more about what they offer.
• Pages at Google (free): I haven’t tried this, but it’s just another free service you might want to check out if you prefer more of a site vs. blog as the two above are “blogs” that can be used as sites… but the difference between “site” and “blog” is grey and blurred, mostly just a difference of focus as each can eventually be used for either, they just start at different places (blogs usually have better starter templates). Check out http://pages.google.com/ and look over their features to see.
• Sites at Google (free): Just re-launched; see comments below for more info.
• Mac.com ($): I know you’re not on the Mac now, but figured you might want to know about this service for if/when you happen to go that route (like when Felix becomes famous!).. although it costs something like $70 or $100 per year, they have a very easy tool for creating sites and some interesting features. More at http://www.mac.com/.
• Register.com, NetworkSolutions.com, GoDaddy.com, etc ($-$$$): For if/when you decide to go your own route and set things up yourself, you can always use any of these services to register and host your own full domain. These range from template driven to full-on coding, so probably best for later (just FYI for now).

Updated: others that have been seen around the Internet and might be worth a look:

• Weebly: WYSIWYG website designer, as of this writing updated with Google AdSense.

In any case, there are a ton of others I didn’t mention in order to keep things simple, so I’d recommend taking a few days to just explore the features of the free ones above to see which you like best for your needs/style. Maybe even setup an account on each free service to see which you like best (don’t forget to write down your username/login/account settings for each :-), test it privately before sharing it with anyone, and then choose one after a week or so.