Be wary that contrary to their declaration that you will have full rights to your domain, you actually will not. This is quite a common problem when domain reseller companies disappear - you will have no (or limited, depending on the registrar) rights to claim your domain name back.

Also be aware that it is against most registries t&c's to provide incorrect information when registering a domain - most people are tempted to use fake personal details understandably when the registry in question does not provide an option to hide these details from the publicly available whois info. To be fair, in the case of the company you mention, they are breaking no rules - they are registering the domain for themselves, not you.

If you are adamant you wish to hide your personal details, use a PO BOX or a work address, or choose a registry which doesn't make these details available to everyone. Also note that many registries let you register a domain directly with them (cut out the middle man), although occasionally this can me slightly more expensive.

I spent a few years of my early career writing realtime domain registration scripts for most (if not all) applicable tld and cc-tld registries which involved quite a lot of research (Zzz)

c.