I use HostGator, but there are many good hosting services available to 'host' your web site. These companies will help with registering a domain name that you will use as your web site address, and connect your websites to the internet.
PC Magazine's Top Web hosts of 2020 »Web hosting companies will provide a lookup service to verify that your selected domain name has not been registered. Select a name that is memorable. Short is better, and using keywords that relate to your company may help with SEO.
Determine your service level requirements. The cost difference between shared hosting and dedicated hosting is extreme. Understand what additional services you will need and how much those will cost. Most sites that include a blog will want to include WordPress.