IMO, it's alittle early to think about taking it to the next level.
If you are satisfied with her current coach teaching her the basic strokes, then stick with him/her.
If you can put her into a group workout, or just create your own, for kids have the most fun in group workouts.
Also try the novice, satellite tournaments, to gage how well she enjoys the tournament match play.
As you get more involved with socal junior tennis, you'll learn where the good coaches/academies are.