I am surprised Salts didn't supply a removal product with the pouches!
That said, I use Hollister No Sting Adhesive Remover Wipes every time I remove a wafer or pouch. Just tearing those things off your skin is going to cause a problem eventually.
There is a method where you lift up a corner of the glued object and press the wipe into the open fold, applying pressure on your skin. This releases the glue without stressing your skin. If I used paste with an application, I'll use a second wipe once the wafer is off, to remove that paste, which is a beast to get off but can be done gently with the right product. Then I wash the area thoroughly with warm water on a paper towel. If you don't, that remover solution will cause a problem when you apply your new device.
If you have a Stoma Nurse, do address this with her/him. Keeping that peristomal skin healthy is really important.
Hope this helps. Let us know how you do!