In situations when the domain name is not available, you have two options. First of all, the registrar will probably provide a few suggestions (based on your desired domain name) which are available. Usually, these suggestions include prefixes or suffixes or variations of the keywords used in your domain name. Additionally, they will suggest using different extensions. Of course, you don’t have to accept these suggestions, but in this case, you should have a list of alternatives if you want to finish this process faster.
The other option you have here is to look for the owner. Use the WHOIS Lookup service which is available to the public. You can find contact information about the owner of the domain name you are interested in and you can contact them. However, if they have decided to keep this information private, you won’t be able to use this method to get the domain name you find attractive.
When you are buying a domain name, you are actually renting it for a specific period of time. Most users are purchasing their domain names for a year or two. However, you can buy this domain name for 5 or in some cases even 10 years. In this way, you can get discounts and one thing less to worry about (renewals). If you decide to use short-term registration, you can expect to pay much more the second time when you want to register the domain name again.