The '86 FOPA makes it legal to transport firearms from any location where they are legal to any other location where they are legal, whether moving permanently or just visiting. As stated, the actual method of storage while transporting depends on the individual state laws.
Should you not wish to tranport them physically, you can ship them to yourself at the destination and pick them up when you arrive. You can even ship them C/O a friend at that location and they can store them for you.