Yes, you can change the name and Abbie can do that for you ... then it would sync with all the other domans: FineArtAmerica, Pixels, InstaPrints, etc.
If you buy a domain make sure you forward it to your AW instead of masking it, you need to leave open the padlock feature for the shopping cart to work properly ... many of my customers mention they look for that. Also, my domain provider sends me a referral link for domains like a buck for the first year. If you'd like it let me know and I'll look for it and post it.