Disclaimer: I love WordPress so this post may be slightly biased.
Both WordPress and Wix are solid choices for a website.
Wix is a hosted solution where you pay monthly for the hosting and site. Although the monthly cost is initially low, adding additional features can add on to the price. Wix also has beautiful templates, but the ability to customize them is limited. If you just need a simple, one-page site with limited functionality, Wix may be right for you.
WordPress is an open source platform. WordPress offers a hosted solution, but you can also run WP on your own server or hosting account. It’s estimated that WordPress powers 25% of all sites on the web. This means there is a huge community that supports and develops features and plugins. Open source also means it’s more vulnerable to hacking, so WordPress sites have to be maintained and updated regularly.