I'll start tomorrow buy cutting up some sponge and leave it for a week or so ,then i'll put the new filter into the new tank with new water for 3-4 days and do some water tests.
Just to clarify exactly what you need to do here, as it seems you may have a little misunderstanding and I would hate for you to get 90% there, only to lose it all at the last hurdle
Put some sponge from the old filter into the new filter, (it doesn't matter how dirty it is, don't wash it, you want to take as much bacteria as possible over).
Run the NEW filter on the OLD tank along with the filter that is already on the old tank.
After 1-2wks (2wks better to be sure);
Move fish into buckets with some OLD tank water.
Transfer as much water from the OLD tank to the NEW tank as possible (not for the bacteria, but for the fish)
Top up NEW tank with fresh dechlorinated water.
Connect NEW filter to NEW tank.
Make sure NEW tank is at correct Temperature, then transfer fish into NEW tank.
Test water for a couple of days to make sure you get no ammonia or nitrIte spikes.
There is no point in getting the new filter all 'bacterialised' (ooo new word

), and then moving it over to the new tank, and leaving it for a few days with no fish if that is what you were intending to do? If you do then all the bacteria you have grown in the filter will die off as there will be no 'food' for them without the waste that the fish produce.