I make Branson's food in bulk and freeze it. I have several containers ranging from the Williams-Sonoma beaba silicone pods ($25) to Dollar General plastic tubs ($1). This is frozen mango and strawberry applesauce. I froze them in the DG plastic tubs. If I use the WS pods or the cheap DG brand I still cover EVERYTHING in plastic wrap. I have noticed that I get freezer burn if I don't do this. I think making sure you let the purees come to room temperature can prevent freezer burn.
I also DO NOT microwave the plastic. I run warm water over them and pop them into a glass dish like the one above in the photo. Then I nuke it for 1 minute.