I am concerned about which end to disconnect the lines that go from front to back. Disconnect at the tank seems possibly the easiest. Then I can take the tank out and disconnect the rest of the assembly from under the hood and remove that as one whole assembly and just slide it into the new car and reattach there.I think the job will be much easier taking it all apart and reassembling it in the new car. I’m not sure how you can leave the hoses attached at the front, since they are connected to the engine?
I have moved my kits a few times and never had trouble putting them back together. You may decide to replace some of the hoses or pex lines, depending on their condition.