There are as many opinions on best tank care as there are tanks
. I have only moved, relocated or upsized well established tanks but here is my thinking on your situation (Hopefully others will chime in):
You should be good with your plan as long as you understand that you will have a "mini-cycle" during the move. You will also have to carefully plan your move so that your rock (all of it) is fully submerged at all times during the transport (a
little sloshing exposure will not be a major impact but nothing should approach dry. There are pros and cons about moving the water. Since you will have nothing live other than the rock in the tank, I would only transport the water that is used to keep everything wet and fill with new saltwater at the new location. As I mentioned, you will have a mini-cycle and should expect to wait another month.
While the tank is cycling, it is pretty much a watching paint dry phase. You will need to encourage the cycle much more aggressively than if you used all live rock. Since you have the time and will be disrupting the tank look into using dead shrimp to keep producing ammonia to create your curing cycle. You may wish to position the rocks so that the sides you hope to view are exposed as the sides on the bottom will not produce the needed bacteria and will be essentially "dead", even in the initial live rock. Since you are only using one (more would be better, even if they are small pieces) piece of live rock try to place it so that almost nothing is touching it, exposing as much as possible to the water. Elevating all the rock to expose as much surface as possible would be ideal. Normally you would start adding critters at about 2 months and start feeding the tank. Since you are planning to move it, I would avoid this and add the extra time after it is in your appartment. Using a dead shrimp weekly, will accomplish part of what you want and will ultimately make the move safer. You will want to light the tank, have currrent at all times and probably start using your protein skimmer after about 3 months. Setting up your sump is unnecessary and you can cap your inlets and outlets (or keep the water below them depending upon where they are located. I would still do water changes about once a month to help remove algae. Weekly or every two week internal glass cleaning is recommend because build up is much harder to clean and propogates algae. I don't use the algae magnet often because they put the algae back into the tank, more so if you are not filtering. In stead I use the Mr. Clean (be sure to get the ones WITHOUT SOAP) erasers and rinse often with tap water (the sink sprayer works best) and then wring them dry before continuing.
The amount of time to turn dead rock into live rock varies and the more live rock you have the faster it will occur. It can take as long as a year and IMO a tank is not really cycled and stable until it is a couple of years old.
I am not a proponent of live sand. IMO, it creates more of a nitrate problem than any benefit it provides but it is popular and may help because you are using so much dead rock. You could cycle your rock without a substrate, making it easier to transport in August. Since you will have a min-cycle anyway, you could add your sand (live or dead) at the time of the move rather than now without much impact.