Yes. We recommend buying not only your domain name with your favorite extension (eg. .com), but also additional, alternative domain extensions (eg. .net, .info, etc). The reason is simple. Having more than one domain extension strengthens your online identity, secures your brand name and improves your online presence. Buying more than one domain extension also protects you from your competitors registering your additional extensions and enticing away your customers.
Check to see if you get any email accounts. Many web hosting companies don’t include email or charge extra for it. In many cases, you can only get email forwarding. Even for straightforward POP3 email, some companies only offer 1 or 2 email accounts. You should make sure you get at least 15-20 POP3 email accounts included free of charge with your domain.
A short, one-word name (ex. cat.com), and especially .com domains, will be pricy because simple titles have a lot of potential uses, meaning people probably already check them out on their own. If you are going after a registered .com domain, you will have to contact the current owner, and even then, prices could be high for misspellings and multiple word domains. In the past years, companies and individuals have settled for bizarre names, misspellings, and old tricks like adding “the” or “my” to the front; note, however, that this will also reduce domain performance.
Many online shops have the number 24 in them, to signify 24 hours a day – you may also be able to integrate numbers into your domain in a meaningful way to make them unique. Be careful though, because many cultures attach a lot of significance to certain numbers. Make sure that your number doesn't represent bad luck or other negative things in the country you're operating in.