If we had a 4D Galaxy Positioning System and could figure out our ever changing co-ordinance then all we would really have to do is stay put while everything else moved using an energy ball or energy blast.
Once we had a shield around us keeping safe from harm we could then turn it off when we were on top of the location we wished to be at.
Why not just measure the math of the jumping off points and then activate a Super Energy Wave Disruption of all else and then when you turn it off you are where you want to be in the Universe provided you did not screw up the calculation, you stay still and let everything else move, while you sit tight in an energy disruption bubble.
In fact you could travel a point very near the intended planet by doing this.
You need a lot of energy for a very short time.
I think the Sun has a lot of energy in it and it is a good source, so perhaps we need to use this energy to travel with? Everything is moving all the time anyway, just figure out the math using a Galaxy Positioning System and go for it.
We can send you and you can tell us how you liked it, do you wish to be the first space traveler to by-pass the known limits of galactic travel? If we send you to Mars when it is behind us then you can come back when it is in front of us by using the same method? Let us know when you are ready to boogie schmuggie?