I use github pages, free, for hosting very simple static pages such as the one about my mudcat addon. It's obviously for projects - not necessarily software - but I don't know what their rules are.

I had a free wordpress.com blog when I was sailing. It's closed now but still online. I would use that service again if I needed a blog.

If I were looking for something bigger, or with server-side scripting, I'd probably look first at AWS. I use the 'free tier' of their Lambda service and it and their controls work well - though they're not simple!

I would keep the domain registration and the webservice separate so you can move either. Some TLDs are cheaper than others: my .com domain costs me more every year than .co.uk would. Some registrars offer multi-year registrations cheaper I think.