First things first, make sure the move goes well. Once the life settles back in your home, think about tackling the algae problem. It will be doable, just be patient. One day at a time. When you move it be prepared with 4-20 gallon vats. Put all the life and half of the rock in one of them first and put it in your car last. When you get home, take that out first, put it somewhere out of the way, throw a powerhead and a heater in it. Only then, start setting up the tank.
With a hose and the vats ready, start by filling about 30% of the first vat with clear water. That should be your first move. Then, start moving the rock. Before pulling them out of the original tank, give them a strong shake/twist so that most of the sand and detritus settles to the bottom. All this should be done with turned off pumps and powerheads. This will help everything settle at the bottom.
First, all the rocks with corals and others until you have a full first vat. You'll come back to this first vat later. Then move all the rest of the rock to the 2nd vat. Still shake them well before pulling them. Once all the rock is out, syphon the top layer of the sand. At this time you will also be throwing away about 20% of the water. You can do it in gallon jugs so you can keep track of how many you throw out. Get rid of 10 gallons and try to clean as much of the surface of the sand as you can. you will lose some sand in the process. Don't worry.
The rest of the water in the tank goes on the 2nd vat until full or you have moved all the water.
Only now you deal with the sand.
With a piece of thick flexible plastic sheet (dust pans work well for this) scoop all the sand and put it in the 3rd vat. You don't need to move absolutely all the sand but shouldn't move the tank with more than 1/2 inch of sand either. Once all the sand has been moved, take 3-4 gallons of water from vat #1 and 2 and put them on top of the sand.
In the car and off to your home. Don't forget to pay
Once home, first (reminder) is to get movement and heat in the 1st vat where the fish and corals are.
Then set the stand, level it, place the sump (it might need to fit through the top of the stand) and last the glass. Plumb it and start the opposite process. First goes the sand. After the sand is in, cover it with a trash bag and then pour the water on top of the plastic bag. After moving vat #3 into the tank, check for leaks, then bucket the water from vat #2 to the tank. Keep pouring on top of the plastic bag to avoid unnecessary stir-up of the sand. Once all the water is out from #2, remove the plastic and start aquascaping with the rock from #2.
Here's where #4 comes in. By Saturday, you will have have vat #4 at home with freshly made saltwater. So that's your homework for tomorrow. Go to the LFS, buy your RO water, your salt mix and a small heater. Prepare 20 gallons at home to be ready for your arrival.
Once this is done, put the heater that came with the tank, back in it and fire it up. Wait a couple of hours to let everything settle a bit and then move the last of the rock and the fish.
Have your ammonia and nitrite tests ready to test your water once you are done with the move and then again every morning for the next 3 days. Have some bio-spira or any 'starter' nitrifying product your LFS sells at hand. Also some seachem PRIME wouldn't hurt.
That's, as you can see a lot to think of by Saturday so let's get on that first and then we'll tackle the algae problem.
Keep taking pictures and asking questions.
Good luck with things.