Oh my, have you ever lucked into the right place!
The members of this forum will no doubt have you fixed up on this topic in no time, its one of their favorites, assuming you've got the time to listen and interact.
Tank water itself is not the "bacteria container of interest" here. Its the media inside the filter (yes, that mucky looking stuff!!) that is the favorite hangout of the little bacteria fellows that we want. So yes indeed, your goldfish filter is of great value to you for what you want to do. And no, there should be no problem using mature media from a goldfish filter, even though you are going to use it to "cycle" a tropical fish filter. In fact, you could have saved some money perhaps, because the little bottle of cycle is probably worthless, compared to the vibrant, alive bacteria in your goldfish filter!
The basics of the "mature media move" (lets call it MMM

) are to never move more than 1/3 (one third) of the filter media in the older, existing tank filter. The type of media will determine how this is actually done. If you have a tray of loose stuff like pebbles or ceramic rings or "bioballs", its pretty obvious to just take out about a third of them. With the (more common) situation of having a sponge, its a little less obvious! Sponges can be cut rather nicely with scissors (well, you have to clean the scissors afterwards

) and one third of the sponge moved and worked into the media hold of the new filter. The trick though is to not lose the debris catching (known technically as the "mechanical media function") ability of either the old filter or the new filter. A sponge often needs to be reasonably tight in its space but not crushed. Either of these, not being tight or being too crushed would result in impaired mechanical filtration function (ie. it won't catch the crap as it flows by

) Anyway, the "MMM" is going to be the way to introduce the beneficial bacteria you need into the new tank.
Now hang on a bit, because you've possibly got some other info to absorb here. This business of MMM is really only a way of "seeding" your new filter with the right type of bacteria. Its a way to jumpstart and speed up the process of making the filter ready for fish. You see, the new filter, contrary to what your LFS may tell you, is really just a kit with a bunch of raw hardware parts and normally its really only ready for fish after an experienced fishkeeper and knowledgeably done the right things to it for about a month (yes, I really said that!) Now for you, it might be only a couple of weeks if you're lucky and the mature media move works out properly, which it should.
The "process" that you are short-cutting on, is called "Fishless Cycling" and its one of the core things this forum is about. No doubt other members will be along shortly (or will already have posted while I'm doing my long-winded typing here

) and will give you some links to click on so you can learn about this process. About now you may be complaining that you only wanted to help your daughter out and didn't want to learn a bunch of sciency hobby procedures, but trust me, its easy, its fascinating.... its even fun, so go for it and read all about the nitrogen cycle and fishless cycling -- you'll be glad you did.
Good luck on all the things you'll be doing. Just ask right here and all of them should get covered and you'll have your new tank up and going and healthy,
~~waterdrop~~
