THIS POST does a pretty good job of giving an idea as to what the differences in forces becomes as you approach a black hole.
For a small enough black hole, you would reach the dangerous tidal force distance before you reached the event horizon, which means you could have a stable orbit around the black hole near that dangerous distance. So to prevent from getting torn apart, you could lay down like a plank, facing the black hole while orbiting in the danger region, the differences in force on different parts of your body would be uncomfortable but survivable. But if you suddenly extended an arm towards the black hole, that arm would have a dramatically different force acting on it.
Assuming you are far enough so it doesn't quite rip your arm off, would this sudden change in forces acting on your body change your orbit? My initial thought was that since you haven't changed your momentum or center of mass at all, your orbit would remain the same. Then I realized that since the gravitational force is proportional to 1/r^2, that means that even though your COM is the same, the total force acting on your body has increased by stretching your mass out perpendicular to the gravitational body, which means your orbit would change right? How would it change your Apoapsis and Periapsis, if you started in a perfect circular orbit?
As a follow up question IF you can change your orbit this way: Could you build a machine(and thus higher tolerances than any human) that could orbit a black hole, and just by moving its mass around at the right times in orbit, change its orbit dramatically?