How do you train a dog to know to leave your stuff alone?

My dog has gone on a destructive path this week. I am not quite sure why. So, I did what I thought I had to do and I started making calls to find him a new home that would treat him like we would. And I had three different takers, one with over two acres of fenced in land. Sounds perfect!! But, as the tears came, I realized I couldnt get rid of Trip. He is still a fantastic dog in every sense of the word, except when it comes with him messing with stuff that is not his. There are presents out now that arent usually around. Have you had this problem with your dog?? And what did you do?
Someone said use Hot Sauce, but I dont want to dose my presents with hot sauce. I just need advice because my heart wont allow me to give him away. He is apart of our family, and we will figure something out. But any and all advice would be great. Thank you dearly.