There's a couple of good things to point out when moving fry to a new tank...
1) There's nothing to be gained by [also] transferring polluted water from the parents tank.
2) Unlike full grown fish, fry, even many, generate very little ammonia. moving a sponge filter from another established tank probably has sufficient BB to handle the slight ammonia generated. You can add BB supplements, but I've never found it necessary.
3) For the very best fry health and growth, do frequent sufficient water changes to ensure a high [fresh] water quality.
4) Remember that unlike adult fish, fry need to be fed small amounts frequently 3 or more times a day. I feed new fry every 2-3~ hours during the day. (Like 8am, noon, 3, 5, 7) giver or take.