Hi Pappa,
I second what Marts has just said. He's also suggested some good starting points in terms of books.
You might have a difficult search I'm afraid. As far as I'm aware there's been no real attempt at collecting such info together in one place. For two main reasons I think:
1.
The way prehistoric technology has been studied and researched. Archaeological specialists work in quite narrow fields: lithics, pottery, woodwork etc. Each subject is usually treated in isolation and publications in most cases deal with a single or small group of sites (largely to do with the way archaeology has been funded for the last 20 years or so). The kind of 'collected flintwork of Britain' type of book tends to be the culmination of a life's work. Let alone a 'prehistoric domestic artefacts of all types' kind of book...
2.
It doesn't survive/we couldn't find it/didn't know what it was. Many of the day-to-day items associated with bushcraft (such as the containers you mention) were simply made of material that
very rarely survive on archaeological sites in Britain. Wooden artefacts of this kind make hen's teeth look common...
Sometimes we probably just don't recognise things or have difficulty interpreting them. For example stone tool specialists often write about things called 'fabricators' that are
assumed to have been associated with fire-lighting. But we don't know really...
IMHO early prehistory (by which I mean up to the end of the Mesolithic) is entirely bushcraft - people living with the land etc. So perhaps just look at some particular early sites, the famous one at Star Carr in Yorkshire is one of the most interesting from a Bushcraft perspective. Start 'Googling'...
Also IMO there's too little emphasis on Bushcraft type things in later prehistory. Archaeologists have tended to worry about political divisions and the reasons for building monuments etc and 'forgot' about how day-to-day life was carried out.
I know this post isn't very helpful but there isn't an easy answer. You'll have to immerse yourself in some pretty boring literature to get anywhere. Take a deep breath and dive in...
If you have any specific questions about sourcing any books or papers you might be ineterested in get in touch - I'll help all I can
Good luck.
Rod