ghreed beat me to the point on the cycled tank;) Doing a fishless cycle is a whole nother thing and I have never nor will I do one.. So what size is her tank? Gh is right on with the cycling taking weeks and thats with help of something from another cylced tank. Even using 5 gal from your tank and putting it in hers wouldnt do a great job. I wouldnt worry about the fish taking the ride even if it was for an hour. The fish fry size in a 1/2 gal of water give ot take wouldnt put out enough watse to foul the water and raise the amonia levels. Putting them in the new tank might kill them in short order. You want to have the fry grow up and be healthy? just a suggestion keep them in your tank in the breeder for a few weeks and give her tank a chance to do its thing. The spike in amonia and nitrites will not be a good thing for the little ones. Even 2 weeks out with her tank isnt a lomg time without using an aged filter or aged substrate or something. Good looking out GH and I hope she can wait so that she can enjoy them as they grow up.
Stay well Mick