I love to hand sew, so I started with hand quilting. I thoroughly enjoy hand quilting, I can do it watching TV with my husband, I find it relaxing and "Zen"...but it takes a long long time to finish anything, and if the quilt top you have made has a lot of seams it can be frustrating to sew - especially as a beginner.
My advice would be to do hand quilting first IF you like hand sewing in general. If you find hand sewing tiresome, frustrating, or just meh, go with machine quilting first - instant gratification!
Alison