In my new house, the paint will not stick to the wall. It will just start pealing like a piece of tape. How do I correctly paint so this doesn't happen?
My background is 21 years of managing a retail paint store.
You need to remove what you can remove of the de-laminating paint. Make sure the wall is free of dust and any kind of contamination. Rub the back of the peeling paint film and if it's dusty/chalky, this is your culprit.
Please use a primer of high quality. If water-based, use one that is 100% acrylic like Aqualock by Insl-X. Certain hard-to-paint surfaces like polished plaster can be primed with products like Zinsser BIN shellac-based primer or Insl-X's Stix.
Contaminations like moisture, dust/chalk, dirt, etc. can cause this kind of delamination.
Whatever the cause, find the source and eliminate before doing any more coating.