The tank itself doesn't cycle, the fiter media which holds your nitrifying bacteria is what is cycled. You could take the filter, fish, and whatever decorations you like, move them from the 10 to the 29, and be good to go. If you aren't doing large water changes, 50%+, add the water from the 10 gallon, and fill the other 19 gallons with tap, or whatever water you use for water changes.
I'll be doing the same thing in about a week, from a 29 to a 150, with around 145 angels. I do 50% water changes weekly, the fish & filter will go from the 29 to the 150, with 150 gallons of fresh tap water.