There are two different methods that work well. For attachments that are QA, the QA mounts are used. Others are done with the debris forks I built from bale spears. Simple matter of either running the forks under the item and scooping it up, or poking a tine or two through an open space in a frame and picking it.
The picture is the inside front of my shed and was snapped while doing the Spring Shuffle. There's a 2x2x1/4 frame that holds one implement high enough to park another one or two below. The snow plow just replaced the RFM. First the RFM was removed by sliding the forks under it and carrying it out. The 2x2 tube allows the forks to slip in under the mower.
This is how it will be until early next Winter. The FEL is only attached to the tractor when being used and gets parked approx where it is in the pic when not in use. In this picture the plow was just placed and the forks were dropped to come in for the bucket. When the snow plow is attached, the loose bucket is all the way in against the wall and that leaves enough space to park the snow plow under the 2x2 frame against the bucket. And of course, the RFM sits on top where the snow plow is now.
For other and odd things, I have a bunch of chains and a selection of slings and straps. Sometimes a sling is used instead of a chain to grab the item if scratches are a concern. A chain is normally run the the sling eyes to catch it in the lifting slots on the loader. It's handy and provides almost infinite adjustment