Thank you all for your replies. I am overwhelmed! I think I have chosen an artist but want to thank everyone else for their interest. If for some reason it doesn't work out with the artist I have chosen, then I will get back with you all.
I would love to do this. I can pretty reliably copy styles, but have no samples of Avatar-style stuff because, frankly, I haven't had a request or commission to do it and I don't usually copy a style unless I have a request to do so.
In any case, if this was a full-body, full-color action type piece without a BG or a complex BG, it would run about 100$ with the rights being yours. And, if you ever didn't like how things looked in the sketch phase, I would of course refund your deposit so that you could hire someone to get it the way you wanted it. I have confidence that wouldn't happen, though.
In any case, please feel free to note me if you're interested. I am easy to work and communicate with and your project would be fun!
I am very interested in working with you on this project. The style I would like the characters drawn in can be found here: [link] and [link] If you're not familiar with the show, the characters in blue are the water benders and orange/yellow with the arrows on their heads are the air benders.
I can get you a current picture of my husband and daughter shortly. As I stated in a previous comment, they should look like they are cartoon characters but be recognizable as my husband and daughter.
I would like some sort of background, but it doesn't need to be complex.