I specialise in fantacy so this might be a little biased to that genre, fantacy lets you get away with all sorts of funky things.
When I'm looking for item ideas I start of with a little exercise, take an already existing completely ordinary thing and make it weird or stupid. For example the Cloff is a ring forged of magic and fools gold that tells the wearer the time by changing colours (in other words, a mood ring) I used fools gold because I think it's cool and fools gold is extremely common so when you have common material you have common object.
If you are looking for something more powerful and daresay more useful than a colour changing ring first look at what it does, will it explode on impact will it turn into a giant toad and swallow your enemy for you or will it just make you the perfect coffee. Look at items from mythology Greek and Roman mythology to be exact their stuff is crazy good inspiration.
How it looks can sometimes be a little difficult, I usually describe very few things about the weapon whilst in use, unless it shatters or something. the rusted handle was becoming more and more invisible as it was craftily swung through the smoke filled air by none other than….
Names, names are fun I enjoy naming my things so this is just second nature to me. What I like to do is stop for a few seconds and listen for funky sounds like maybe wind blowing against trees and now you have a shrackle- a random weapon I made up on the spot, an original version being (shhhkkhra) sounds like a baby trying to say something doesn't it.
For deciding how rare or common it is I usually decide given on how long it took me to come up with a name or what it looks like etc: but for example everyone has a cloff because I whipped that thing up in 5 seconds whilst the shrackle is only used by professional sword fighters (do you know how difficult it is to turn shhhhhkkhra into a word) but that's the fun part.
I hope this lengthy message helped out and if I missed something you want to know tell me and I'll add it here.