A razor like that should not pull at all when used properly. The first things that come to mind are preparation and angle. Before shaving you want to make sure that your facial hair is well hydrated. You can use a hot towel or, even better, shave right after a shower. You also need to use the proper angle while shaving. The razor should be fairly flat against your face. If it's too flat it won't shave efficiently. If it's not flat enough the blade will feel harsh and irritate the skin. Experiment till you figure out the angle that works for you.
Here's a video I made that could help out a bit.