The small picture on the link you provided almost looks like a MOEN and here is how to do it and I just used it today to remove a Moen tub cartridge.
In the plumbing or irrigation department, get a 1 & 1/4 inch plastic tee. You may also need few inches of 1 & 1/4 inch pipe or buy a straight connector. Use the screw from the handle to determine the size and threat count and get 4 inch "brass" screw with a round head. Also get a few wing nuts to fit this brass screw.
At the top of the plastic tee drill a small hole so the screw fits through it, Threat a wing nut on the brass screw so the wings point to the screw head. Now put the bottom part of the plastic tee over the cartridge and threat the screw into the cartridge. Snug it up and then turn the wing nut clockwise. This will push the tee against the valve body the screw will pull on the cartridge. You might need to add a few inches of pipe or use the straight connector so it all fits. This will work and you might need to use a pair of pliers on the wing nut. Since the tee pushes against the valve body and the screw pulls on the cartridge, there are no damaging forces on the plumbing.