I recently went from a 37L to a 220L system.
I considered a few ways:
1.) Fully cycling the new tank before moving anything.
2.) Moving over rock+fish after new tank is filled/temp/salinity.
I'd imagine #1 is objectively the safest approach, but I went with #2.
I filled the new tank, ensured temp/salinity matched. My rockscape included a space for the 37L tank's rock. I moved over the rock/corals then the fish.
I monitored ammonia daily for the first 7-10 days, and did water changes every other day or so regardless what tests read as. I did see a mini cycle/ammonia, but saw no stress or issues with the fish. I also dos'd a bacteria in a bottle for the first couple weeks.
I do not know if I got lucky or if this is a good method to follow, it did work for me. My logic was it be basically a large water change since I was moving the live rock aka filtration, I wasn't increasing fish and greatly increasing the water volume.. so I thought it should work. I did not move the sand.