Transferring Canned Food from Mason Jars to Mylar Bags?

I recently began canning food, water bath canning, dry canning, oven canning, and so on. After much thought I decided I would like to begin to store food long term incase of an emergency situation. I did some reserch and figured that oven canning food in mason jars would be appropriate as I don't have a food saver, and wasn't sure I wanted to invest in one just yet.

Now I have oven canned 20 jars of food about two weeks ago and am eager to know if it's possible and safe to remove the food from the mason jars and store them in mylar bags with oxygen absorbers. I also have some mason jars with oxygen absorbers and want to know if those could be transfered to mylar bags as well. I am down sizing in living space and desperatly want to do this before the move. I hope this is possible and need help urgently since I have no previous experience and would hate to mess this up. Please help! Any input would be so greatly appreciated. Thank you. The crazy canning lady.