Last tank transfer I did was a 60 to an 80. I just moved everything, rock, corals, water, filter sponge, 6 bags of bio media (matrix) and 2 fresh bags of matrix, fish & inverts all in one fell swoop. No issues- this was my main SPS tank.
What every you do just keep an eye on parameters an Amonia, I also added a bottle of nitrifying media.