Re-tanking Goldfish

If that makes any sense.
I have a spare fish tank (240 litres) that I plan on moving my fish into today.
I’m petrified because it’s a completely different tank/set up (my current tank has built in trickle down filter with 2 media cartridges and a filter sponge) but the new one just has a stick on filter that you stick on the side of the tank (inside) and the water shoots out of about 10 small holes.
How can I move them immediately without killing them?
I could shove my current filter sponge inside the new filter (which has a small bag of something, maybe carbon rings) but I wouldn’t have anywhere to put my current cartridges.
Will my current filter sponge, along with the new filter media be enough to instantly cycle my new tank?
If not, I’ll leave them where they are.
Thank you

 

Please post pictures of the new filter.

 

Way too small of a filter to handle the waste production of goldfish. Putting your current media in it will give you an instant cycle per say, but I can’t imagine the flow rate is high enough in that filter to being the waste on contact with the media as much as it needs to be

 

I would wait until you get a different filter for the new tank and then move your goldfish over. Do you still have your 2 moors? Understand, that you will still need to do largish weekly water changes even though you increase the volume of your tank. I think they would appreciate the new tank once its ready!