I occasionally have good luck with plants of any kind that do this (creating off-spring) by taking the plant, removing the current babies, & repotting either the Mom or one of the kids, into a Larger & DEEPER pot (Not huge, but indeed bigger than the one you normally use).
When the plant does start popping up a "kid", remove it immediately. Keep growing this way for as long as you can.
Something else that may also help, is to try adjusting your conditions slightly. (More/less light, moisture, temps.)
While this doesn't always work for me, many plants have this behavior & a slightly larger pot as well as changing conditions slightly, (as well as removing any new kids that still appear for a little while), does sometimes help the plant to quit producing offspring so much & gets it to create a nice, large, uniform, single plant.
(Aside from changes in other conditions, the added root room seems to help the plant focus on growing bigger instead of making kids, especially after the offspring are removed for a period of time.
If you have a bunch of babies, you could try this with the offspring & put each pot/plant in a slightly different location, and see the results. Again, this doesn't always work, but I have had some results with it. Especially if you pick out the "kids" as soon as they appear, and allow the plant to continue to grow out.
Oh yea, and if you do have too many down the line, keep me in line for one of your unwanted children!
I do know about wanting one, nice, large plant instead of tons of baby plants with no real nice "Huge" one. Hope you can get some success with this.
While a bit of experimenting & work is involved, it may give better results than just sending the babies to others! (Although it does give "THEM" nice results of getting free plants!)
Do keep me posted on your results if you do try this out. I would be interested to hear what happens.
Good luck!