I had a website for many years that I built myself using now legacy MS software. The site was geared to not only sharing my work but also selling prints. It got decent traffic early on but started to decline when everyone and their grandmother had a photography site, while hosting and domain costs kept rising. I finally pulled the plug even after making some sales in both prints and published work.
All that being said, there’s a certain joy to having your own site. These days many web hosts, such as Web.com have ‘site builders’ that you can use to build your site. You’ll also need a domain name. I suggest using your real name, for example, “matthew.melamudephotography.com” or one of the other extensions such as .net . Network Solutions is the best choice for this.
You could also hire a developer to build your site, but it would be quite expensive. See this NPN discussion. Also, this one.
If you decide to have your own site there are three things to ensure. First, make sure the site is ‘smart phone friendly’. Second, advertise your site on your Facebook page or other social media platforms if you use them. Third make the site is ‘search engine friendly’. Google SEO (Search Engine Optimization).
OK. I’ve rambled enough here. 
The main thing is to do your homework and find a solution that works for you and supports your goals.
-P