I been through this before its a headache..
HIRE A TRUCK/LARGE VAN FOR A DAY OR TWO. <-- best option.
wait until dark hours, and when your plants are on the 'LIGHTS OFF STAGE' (to minimise stress)
then move them over to your new place, make sure you tie your plants down and secure them..
dont forget to 'PREPARE' the next grow room so its ready for you to throw the plants under lights before they light up the next cycle; move the easy stuff like your equipment first; set them up in the new place and leave the plants till last, then all u have to do is transport the tomato trees lol
should be sweet.