Best way I think is to drain say half or more of the water move the tank to your house after you have take your fish out of it and put them in bags and get that filter running again real fast, try to keep it in the tank water so the bacteria doesn't die. Though I think you can take all the water out leave the decorattions in move the tank as fast as possible set it up, put the water it rearage the decorations and put the live plants bak in if there are any turn the filter on and heater, once it's at the right temperature gradually let the fish back in since with the same filter and gravel you should have the tank cycled but just monitor it for awhile.
with cichlids just make sure there are lots of caves/ hidding spots as they love to nest within cave type things and claim them as theirs! i know mine love all the shale slabs i've made into cave type things
Its usually best to drain as much of the water as possible when moving the tank. Besides being heavy it can cause the tank to leak if it is lifted or twisted the wrong way. I usually put water from the tank in clean buckets and put the fish in them then add the water and fish back to the tank when I get where I'm going. Hope that helps