On modern dragsters, there is about a four inch long tube sticking straight forward off the front cage hoop, about half way up. You lean forward, stick your chicken wing on it, and push/pull yourself out. Your cage may be short enough that this will not work.
Also, I have seen little wedges on the floor with traction tape to keep your feet from slipping as you push yourself up. Again, your cockpit might be small enough that your knees won't clear the cross bar.