I'll second Kristine's comments.
The other part of the equation is to get a domain name that is not only easy to remember, but easy to SPELL too. If you can find a domain name that isn't easily misspelled, you'll be happier in the long run. If there are multiple possible spellings of your domain, try to buy each spelling and have them all point to the same website.
The other thing to consider is to pick one that you can say easy enough, so when people are asking what your domain name is, you can either say it and they know how it's spelled right off, or it's easy to spell out. I had an old domain name that had "tpgpu.." in it. Ugh, that was a nightmare
No need to make your domain name the same as your company name, unless of course you're trying to create a brand identity around the company name. In our current venture, we wound up naming the company the same as the brand of product we created.