Really? Free? Actually, yes! Weebly.com offers a fairly simple to use online website design module and hosts the site for free. You don't even have to register a domain name. Please note - if you're looking for something more than a very simply site, or need any 'extras', you'll need to upgrade to the paid version. Even the paid version is very reasonably priced, however. Last time we checked, it was just over $25 for six months. BE AWARE: If you are planning to add Google ads to your site to generate income, Weebly.com will take HALF of your income from them!
In this case, a better choice would be GoDaddy.com. They offer their website design module, registration, hosting, etc. for very reasonable prices and do not take any of your Google Ad income. We have a team member with 15 years experience with GoDaddy.com who highly recommends them.