If the filter media fits in both systems, just use the old filter media in the new filter. If not, run both filters on the new tank for a couple of weeks to let the new media get colonised as tkos suggested.
I'm guessing you are moving everyone and everything into the new tank. If so, set up the tank with the old decor, fresh treated water, heater, old gravel (carefully pull it out of the old tank; maybe using a net to take it out?). Give it a few hours for things to settle (the gravel will likely cloud the water a bit sinces its full of stuff) and the heater to bring the new tank temps up to speed, pop the filters on and add the fish.
Double check your water parameters frequently; chances are since the bacterial colonies are the right size to deal with the number of fish you have, and you are moving most of the colony, you will most likely not see any ammonia or nitrite spikes. Better to be safe tho.