No mouldings. Sand it all down, and sand the clumps that show on the wall, and once everything is nice and smooth, do a proper paint job. Do one room at a time, so it isnt so overwhelming. When a quick and bad paint job is done to sell a house, sometimes, it can be more of a problem for the new home owners, than if they had just left it all alone. Its best to clean it up, sand it down, and do it right, one room at a time.

Thank you! I appreciate your comment because your right, in my head it feels overwhelming. Sometimes, we just need someone to tell us to calm down, it'll be okay!

Just do it little by little, and get one room finished. Once it looks nice, it will give you the energy to do another room.