If you've got a whole bunch of ukuleles around, it gets to the point where you really need to think about how to store them. They take up a fair bit of table space and can get scratched (quick hint: the experts recommend you put ukuleles face down on the table - that way it rests on the strings and the wood doesn't get scratched) and putting it on the floor is definitely a bad idea if there's someone as clumsy as me around.
There are very few dedicated ukulele stands around. But a mandolin stand will do the job just as well and they're much easier to get hold of.
The pub prop is a useful little kajigger particularly if you're gigging. It's a type of hanger that you can latch on to a mic stand or a table and keep your ukulele on. Here's a quick video of it.
And here are some available on eBay UK.