Pushing chair wheel Magnets function

Hey Guys,

I would like to animate a mother pushing her son in a wheel chair. I tried to do it both with the magnets function as well with just dragging her hands over the handles of the wheel chair. Unfortunately, both didn't work out for me because the wheel chair's not staying attached to the ground when using the magnet and the mothers walking behaviour is becoming rigged. When I tried using dragger, I animated the movement of the chair wheel with the transform function and then just dragged the hands of the mother over the handle. The problem though is, that the walk behaviour isn't a steady movement, so the hands of the mother always go forth and back of the handles (as shown in the video). Does anybody know how to solve this problem or if there's a better way to do this animation?
Thank you for your help!