We have a couple of options to name our company but we would like to find out which one is best accepted by users or which one is better associated with our product.
In the past it was possible to perform a A/B tests using Adwords. However, as far as I know, Google blocked this option in early 2008.
Do you know other ways to test company/domain tests?
Don't delegate this privilege and responsibility to others.
Do some reading about considerations for choosing company name (Google is your friend) and then take the responsibility and joy of naming it yourself. As the founder it will reflect your style, your preferences and your personality. Your company/domain name should reflect your best judgment.
Assuming you already have both domains, then it's actually pretty easy:
The toughest thing is to get people to associate their problem with your domain. Don't assume that the cleverest name is the best (or that the simplest name is the best).
Choose your ruts carefully. You're going to be in them for a long time.
The best selection method really depends on your target market. Programmers respond to polls differently than surfers. Your company name is very much your brand. It should say something worth knowing about both you and your product. Some sort of vetting process is a good idea, though I don't think a poll is the best way.
We've gone around to some random friends and asked them informally. It prompted us to go back and come up with a more descriptive name. But, in the end, it will be our decision.
There's a lot of readily available material on naming and branding. I strongly recommend reading it.
Why not just ask your potential users to vote on your name :) offer everone who joins the product for free