My mom used the boxes that a dozen roses come in for many of her spray-type decorations. But she knew florists.

I would take the big "underbed" shallow boxes and build dividers like the ones in wine boxes so each spray could have its own section, or at least be in a single layer.

If you slide them into a stiff paper cone (like the street flower vendors use) and fold it down you can keep them from tangling. I think they are called bouquet sleeves.

I have a number of wreaths and floral garlands that are hard to store. I have them loosely packed in big plastic tubs. For things that tend to get tangled, I use big plastic bags or a sheet of packing paper to keep them from mingling with their neighbors.

I use a Christmas storage box with flexible folding dividers so I can store ornaments individually and other types of items like garland etc in the same box. It's nice to have everything in one place. You can get these types of boxes anywhere (Wayfair, Target etc). The thing to look for is flexibility of the dividers so you can customize to your tree trimming stuff.

https://www.frontgate.com/ornament-storage-trunk/810625?SourceCode=ZZ51120&cm_mmc=Comparison+Shopping--Google+Product+Listings--NA-_-NA&intlShippingCtx=US%7CUSD&CATARGETID=120245420002086759&cadevice=c&SourceCode=ZZ51120&gclid=Cj0KCQiA38jRBRCQARIsACEqIeuQZI2-Is1X6rOTJcQGIEbp5QT28gm9mIYgOvrndzIQKHIvjUtUJj0aAikZEALw_wcB

I have a wrapping paper holder that I use for storing my long stemmed faux branches & blooms. You can usually find them this time of the year at Walmart, Target, etc-when everyone puts out their storage stuff. The one I have is clear, but I've had it for years.