Val, if the new tank is all ready to go, then you should transfer everything from your current tank to the new tank a the same time. Take your fish and put them in a bucket. Then transfer everything to the new tank, fill it back up (and condition the water), be mindful of the temperature, and then re-introduce your fish.
What kind of filter do you have on the old tank? Not sure what you mean by "air thing"
What kind of filter do you have on the old tank? Not sure what you mean by "air thing"