I went from a 29 to a 46 with a 20 sump, fairly close to what your doing. I added more rock to the 29 slowly so that it would be a bit crowded but enough when I made the move.
As far as the move itself, have it ALL ready to go, even if not running water at least a water test, I moved all my stuff in a rush and was planning to reuse the same sump... BIG mistake, sump did not fit my new stand... I had to get one in a rush.
Biggest and most important thing is stability, because your only adding enough water to be but a large water change if you think about it. And don't add too much new sand/Rock or your gonna get a bigger cycle then your expecting by too much I mean don't go from 40lb to like 90lb in one move add it to your tank slowly before hand or after slowly as well.
Just keep the params as close as possible is the only issue, If it takes you a few hrs, make sure that the temperatures are matched, salinity and so on or make sure to acclimate everything if a large change takes place.
As said I made about the same move and I didn't even see a cycle, I did get an algae bloom for a few days but never had any amonia/nitrites/nitrates spikes.
Good luck and if you need any help don't hesitate to ask.