Should I keep my mother's china and Hummel figurines?

Give them to someone who would love and appreciate them. That's what I would do, in any case. Whether sold by a dealer or given away they will move into the home of someone who will treasure and value them. Things should be loved, displayed,appreciated. That someone pays for them only adds to it all as they scrimped and saved to add one more to their collection, perhaps, and was thrilled to choose the one just right for them. Enjoy that they move on to new life and appreciation. It matters not a whit if you make money off them or not. If your Mom was of a frugal nature she would appreciate their value.