Blogger (with blogs at blogspot.com) was purchased by Google decades ago, and still works.
If you have a blog there, it's a bit confusing to set up a domain name for it. But it's actually quite simple ... although you'll have to wait some time for its activation.
On blogger, select the blog.
Go to settings.
Scroll down to "Publishing".
Click "custom domain".
Type in the domain you've registered, and want to use, for this blog.
Click "save".
A red warning message pops up, which asks you to add/edit two CNAME records, to the domain's zone file (which tends not to be called a "zone file" these days) at your registrar.
In a separate browser tab, do what the warning message asks, at your domain registrar.
Now go back to the blogger settings page, and the warning message, and click "save" again.
Then, still in settings: 1) turn on "redirect domain", 2) turn on HTTPS availability, 3) turn on HTTPS redirect.
For good measure, I like to then go to the registrar page, get rid of the A records, and add the A records for Google: 216.239.32.21, 216.239.34.21, 216.239.36.21, 216.239.38.21.
Then just wait 30 minutes, or more, for it to take effect.
