I am not sure of the name, but there is a very thin sticky fabric, that you press on the inside of the shirt, to cover all the embroidery area...mayba at pointetopointe.com

I use an iron on soft stabilizer. I don't know how long it lasts or even remember what it is called. I bought mine from a quilt/embroider shop about a year ago and they have closed. I cut it a tad larger than the design and iron it on. I haven't had any complaints and use it on all baby items I embroider. I know other cuties know the name of it.

I think it is called "Cloud Cover". You have to iron it onto the backside of your embroidery with medium heat. Good luck.

I use Pellon Sheer-Knit and I get it from JoAnns...and I usually wait until it is regular price and use a 50% off coupon...works wonderfully well and I have never had a problem with it coming off in the laundry...I round the corners and cut it a bit bigger than the design...some recommend that you use pinking sheers to cut it out as they say it adheres better with a pinked edge...If I am really worried about puckering, I will iron this on before I embroider and then another layer over the embroidery...

Cuddle Spun or iron-on knit stabilizer, either works.

I use a light weight interface. I used to use the knit one but found it did not stay on as well as a regular woven interface.