We did similar a couple of years ago Constantly - pre plastic crates my decorations were in a mix of shoe boxes, cardboard moving boxes and giant gift bags.
We do have one giant cardboard box left but it's pretty sturdy so will do for now.
Fluffy our crates aren't massive but they take up a big chunk of the attic. I rearranged them this year so we have baubles in one and a rogue shoebox as they wouldn't fit, one for lights, one for kitchenware, one for random bits along with stockings, one with cards, gift bags, tags and anything that wouldn't fit in the others then a big cardboard box with most of the ornaments, a wrapping paper bag, 2 Christmas trees in bags and a giant plastic laundry bag type thing with the throws, cushions and clothes vacuum packed and thrown in along with the wreath and doormat. It's ridiculous really 
We had snow too. Rain washed some away but there's a sprinkling left. Looks dangerously icy though.
sunshine could you look at donating the decorations you don't use? I gave a load of ours to the local church and DHs school a few years ago.
For wrapping we decided to go for Santa bringing a big present and a few small ones associated with it (this year a wooden kitchen, apron, chefs hat, wooden pots and pans and a toaster) all wrapped in paper with Santas face on. I still have half a roll left.
Everything else was from us and was done in Spider-Man paper 🙄
I hated doing that. I know it's against MN rules etc but I like to see a mish-mash of different papers under the tree.
It's what my parents did and part of the fun that I remember was pulling a present out and having to check who it was for and swap with my sister/deliver it to mum or dad etc.
Will look to do that in a year or 2 I think, when LO is fully settled as they found this year really hard (understandably).