If you prefer a more traditional URL, you'll need to purchase one from the likes of GoDaddy or Namecheap. Domain name pricing can range from extremely cheap to extremely expensive, depending on whether or not domain squatters are looking to flip a valuable piece of online real estate. You'll want to get something short but evocative and catchy, and depending on what you do, you may find that many of your first choices are taken by either other legit domains, or by squatters who've scooped up the names as an investment. For more, please read How to Register a Domain Name.
If you don't have a design already in place and think templates are too limited, consider Adobe Muse CC. This unique little program concentrates on letting you design. Templates are handy, embeddable web fonts are great, and the sitemap view may be the best way to get an overall feel for what your site will have. Export it to HTML and you're ready for upload. It's part of the Creative Cloud bundle and also available individually for $14.99 a month with a yearly plan.
Yes. Wix offers a few different ways to create your own free website, so you can choose the creation process that works best for you. Need to get online fast? Answer a few simple questions and Wix ADI (Artificial Design Intelligence) will build a professional website for you in under 10 minutes. If you want 100% design freedom, start from scratch and drag and drop the website design features you need in the Wix Editor.