One of the easiest to handle...relatively inexpensive...and can be cleaned over and over is white fleece.
We began using it to photo some of the rescue dogs for adoption.
The hardest part is getting the lighting right (don't use a flash). The white background reflects the light better so it doesn't give as much of a shadow and illuminates the dog from behind.
Another big help is getting down on the same level as the animal while photo is geing taken.
For lights, find the closest that you can to natural sunlight so that it picks up the colors in the coat the best.
That's my two cents! Thanks!