Web design is a rapidly changing field, both technologies and web-design standards change frequently leaving one with fairly frequent update cycles. In addition to this, any non-static CMS based solution must be updated frequently to ensure that the most recent version. If you've not updated your CMS solution in some time, I recommend you do so as soon as you can. Even better, I recommend that most small sites use a static content manager such as Hugo CMS or Jeckyl. With this there are far fewer moving parts to look after.
For new websites my recommendation unless you have specifc other requirements, I recommend you use a static content management system, and pick one that favours stability and security over features. If you need any dynamic features, I would recomend React for that.
It is possible to build your own site, as long as you are quite technical and can understand HTML and CSS, there is no reason not to have a go. Most of the generative AI tools can provide a lot of assistance with the development effort. But bear in mind this is not a quick process, if you are not used to web development, allow time to understand CSS, HTML and hosting.
Personally, I would recommend a static content management solution and managed web-hosting, from any reputable provider. A good starting point for developers that are unfamiliar with web-development is w3 schools.