Minky is one beautiful fabric for a baby's project. But, it is slippery and difficult to work with. So, I recommend that you use Ann's (excellent) Adhesive Water Soluble Stabilizer.
You need the adhesion for that fabric and Ann's is the very best on the market and, if you are a member of Ann's Club, the price is the very best on the Internet.
Make sure that you use a 'topping' on your fabric so that the embroidery does not 'sink' into the fabric. You can use a water soluble stabilizer of any variety for that.
Show us a photo of your project when complete. We love to see items that are done by ATG friends.
Pat, The Avid Embroiderer
If you are interested in selling your projects, you can determine your costs and profits quickly with my Spreadsheet.
If you want a lot of great information on working easier, faster and more confidently on your computer, check out my Tips and Tricks.
If you want to see my pashminas (that I successfully sell retail) check them out here. I also wholesale them.