Celeste,
Welcome!
I just reposted an old "recipe" on "How To" copy artwork, should be just above some where or just below somewhere or just some where!
The "usual suspects" that create poor copies are these:
1. Camera lens and artwork, not completely parallel.
2. Wrong aperture, too shallow, like F2.8,instead of F8 or F11
3. Artwork not lit correctly, hotspots/shadows
4. Wrong camera to start. Point and shoot vs a DSLR or worse, handheld smart phone.
5. No tripod
And I could go on and on. If you have an old film camera and a longish lens or better yet, a macro lens, then that would be preferred over a small point and shoot. If you buy some good low ISO color negative film, ISO 100 or 200 and shoot the artwork correctly, then you can have the film scanned,cheap, $.50 each or so. Where you are, shouldn't be a problem.
In New Mexico where you are, you should be falling over photographers out there and many have the right gear and the right recipe to correctly copy your artwork, if you don't want to go through all the stuff I suggest!
If your artwork is smallish, then this is something you should try!
Rich