i always use liverock and try to get already cycled water to put in there. So when you do a water change in your big tank, take the water from it and put it in her tank and that should help speed up the process a bunch. i also do not turn lights on until ammonia and nitrite hit zero and also i never do a water change until nitrites and ammonia are at zero. once they are then i do a 50% water change. at which point i let it sit for a day or 2 then test to be sure they are still at zero and your nitrates are coming down from the past few days when you have been checking it. I then turn on the skimmer after the entire process and 50% water change. i cycled my 29g in 10 days complete cycle from scratch to 20 nitrates which was good enough to add fish and inverts IMO. I wait until things plane out better before adding coral probably a week or 2 after starting with low end stuff like kenya trees etc... i do 20% water changes per week until nitrates drop down to 0-5 then switch it back to every 2 weeks.

good luck and i hope she likes it!