It is a common mistake to simply put the tree back in the box without un-fluffing the tree. This causes problems compressing the tree into a smaller space. By folding the baby branches toward the main branch, the tree fits into a smaller space and the needles / branches are less likely to be damaged.
3rd - Take Apart Remove the top section of the tree. Turn the top upside down and gently press the branches toward the center pole. Lay the top on its side out of the way for a moment. (don’t put it in the bag / box yet) Remove the center section(s) of the tree. Turn the section(s) upside down and gently press the branches toward the center pole.
Lay the middle section(s) on their side out of the way for a moment. (don’t put it in the bag / box yet)
Loosen the bolts on the tree stand and remove the bottom section. Turn the bottom section upside down and gently press the branches toward the center pole.
If you have a strong twine or cloth covered bungee cords, it is a good idea to wrap the bottom and middle sections with twine or bungee cord to further compress the tree. You do not want to make it too tight but just a little compression makes the next step easier.
Make sure that when you are folding the branches toward the center pole that the light strings do not get caught or pinched in the hinges. If the branches are not easily folding toward the center pole, do not force it.