It depends on how far you are moving. If it across town, just put them in an air conditioned car. Preferably at night. Or when there is little sun.
Last August, I moved from northern West Virginia to southern California. I chose the
plants that I thought could survive the journey, and brought them. The rest I, sadly, gave to friends that had a love of
plants.
I brought dracaenas, anthurium, and a rare type of aglaonema. I gave away pothos, peperomias, ficus elastica, crotons, and (saddest of all) my 20 foot long syngomium vine.
The ones that I left behind were due to heat tolerance, mostly. I could not bare the thought of my 20 foot syngomium perishing during a cross country drive. The last 1/2 through desert.
I put them in the back of my SUV with tinted windows to protect from the sun. You may need those "baby shades". Each night, I took them into the hotel & watered + misted them. After 4 days in a car, they were droopy, but survived. The worst was my aglaonema. It struggled for months & then died. It was the wrong type of
plant for the trip. But, I hoped to keep it, as I have never seen another of its' type.
Do your best to keep them shaded. Water thembefore the trip & at night during the trip.
Good luck!!!