Don't try to move the tank with water in it, it will be very heavy and could crack. but save as much water as is practical in clean containers with lids (buckets, garbage bins). With a tank that size, you could probably leave the gravel in, and leave a little water in it, to keep it wet.
You can probably transport the fish in a covered bucket as well.
If you're moving them within the same city, so they are not in transit too long, they should be fine - it's not that hard. You can put a heater in the bucket to keep them warm while you set the tank back up.
I would avoid cleaning the gravel, or adding too much new water, so that chemically things stay as similar as possible, and you retain the microbes living in the gravel - keep wood, ornaments, plants etc wet for the same reasons (they could go in plastic bags or buckets). You will probably find the water gets murky from the disturbance, but this will settle mostly in a few hours.
Good luck.