I want to eat them soon (no idea what type they are but I’ll take the risk).
Please don't even nibble them without a firm ID....as others have said this is an unnecessary risk and could be deadly.
Unless a mushroom is something so clearly unmistakable, maybe like a morel or chanterelle, and has no toxic look a likes, I research for ever and it takes a long time to be confident of an ID.
We are lucky in that there are many in my area who know the local mushrooms well and I can get confirmation...and even then I'm cautious.
When making a slurry to spread around as Joseph suggests, be sure you are not using the kitchen blender...get an old one to designate for the garden.
The wine barrel soil sounds wonderful. What do you plan to grow in it?