If you took a filter cartridge from an established, cycled tank and put it on the new tank, then that new tank is now cycled, assuming there isn't a huge difference in the bioload of the old tank and the new tank.
Since you took all the fish out, there's nothing left in the tank to produce ammonia, so the bacteria on the old media have started to die off. If you're not getting fish for awhile, I would add ammonia to the new tank to ensure you keep your bio-filter alive.
Then, once you get your test kit, you can verify that the tank is cycled, because the ammonia you add will disappear overnight, and you'll have 0 ammonia, 0 nitrites, and some amount of nitrate. At that point, you can do a big water change with dechlorinated water and add your fish.
Since you took all the fish out, there's nothing left in the tank to produce ammonia, so the bacteria on the old media have started to die off. If you're not getting fish for awhile, I would add ammonia to the new tank to ensure you keep your bio-filter alive.
Then, once you get your test kit, you can verify that the tank is cycled, because the ammonia you add will disappear overnight, and you'll have 0 ammonia, 0 nitrites, and some amount of nitrate. At that point, you can do a big water change with dechlorinated water and add your fish.