mbeer21 said:
I'd take all the substrate out of your tank before you move, too - moving the tank with anything inside will put too much pressure on the bottom
+1 Unless you're experienced moving tanks, leaving in the substrate and decor will likely lead to a fractured tank.
My advice is on the opposite end of the spectrum from the previous replies.
Even though it's only 15 minutes, treat it like it's 15 hours. Murphy's Law states anything which can go wrong will.
If you give yourself enough extra time and consideration, you can spend the attention necessary on each step to do it right and exactly the way you want without causing a rush or undue stress.
Each move I've made (even across the house), I've set up a large Rubbermaid tote as a surrogate aquarium -- complete with HOB filter, heater, airstone and small piece of decor in the center.
I've moved 2 stocked aquariums (30g 500 miles, 125g 40 miles) and can't sing enough the praises of over-preparation.
By the time you move the stand and aquarium, level the stand, 'scape the substrate, re-plant and re-decorate, fill the tank, settle and re-heat the water in the tank, and then finally re-introduce the fish, several hours may have gone by. And God forbid the aquarium breaks, all day might go by.
I think a portable air stone is probably unnecessary, but I would have at least an airstone and heater in the bucket while you're tearing down the tank and then again at the new house when setting up the aquarium.