Hi Trish, welcome to iCraft!
I like when people personalize their stores, so I think it's a good idea to use the word "curly" in the store name. It's your store after all.
Btw, it's easy to change the name of your store later, if you change your mind. Just update it on this page https://icraftgifts.com/member_profile.php
and all links will update as well.