Is it possible to purchase a domain from one website and use it for hosting on a different website? If so, what is the procedure for doing this? Additionally, is it necessary to provide accurate information when registering the domain in order to avoid any issues with hosting on another website?
As a first-time user, I would appreciate a detailed explanation.

In some cases, domain registrars may require verification of registration information such as scanned identification documents. If this information is not verified within three days, the domain may be blocked. However, for domains such as .com or .net, verification may not be necessary.

It should be noted that the hosting provider is generally not concerned with who registered the domain as long as the content on the site is lawful and does not involve spamming or phishing activities.

You can buy a domain from one company and register hosting from another. When transferring a domain to another registrar, you need a code that is issued upon confirmation of the specified personal data, that is, you will need to upload scans of your documents. That is why when registering domains, it is best to immediately indicate your real data so that in the future there will be no problems with its transfer or sale.

Yes, you can freely change the hosting, keeping the site name. As for the rest of the conditions, each host tries to form its own pool of transition conditions. Just choose for yourself exactly the hosting that accepts the transition on the conditions that you need.

After registering a domain, the next step is to find a hosting provider to host your website. Some hosting providers allow you to register a domain directly through their platform, but if you plan to register multiple domains, it's recommended to use a domain registrar.
but, if you only need one domain, you can save money by combining hosting and registration. Bluehost is highly recommended as the best web hosting provider for domain name registration, but there are also other platforms that offer favorable services for hosting and domain registration.

With Bluehost, you can buy a domain .com for $11.99 per year, and privacy and protection for $11.88 per year. Although you can get a free domain from Bluehost if you link your domain name registration with their web hosting services, I don't recommend it because you'll still have to pay $11.88 a year for privacy and protection.
On the other hand, Dreamhost offers a domain .com for $7.99 per year with free privacy and protection but your domain will be renewed for $15.99 per year.