I have moved an entire garden and 100s of houseplants. I was only moving about 15 min from my old house. The realtor said I would have a faster sale if I made the gardens smaller. I was not going to kill my plants so I dug them up.
I had styrofoam coolers on hand and went to the dollar store and picked up some more. Everything as dug up soil bushed off and wrapped in damp newspaper. Since you are moving in the heat the cooler and moist newspaper will help keep the plants hydrated and the coolers will keep them from cooking.
I do not think after you move you are going to have the energy or feel like planting immediately. So I would plan a temp solution. ....... The styrofoam coolers will be your friend at that time. Put some soil in them and plant until you feel like you can get in the garden after you unpack. Remember the coolers are not their permanent home so you can plant tight. I had 10 coolers planted all winter and that was a entire garden from a suburban garden. 50 hostas and lots of ferns, daylilies, iris and, and, and.