I use breakaway collars with Collartags from Boomerang Tags. These tags are like slide-on (or hook-on, if it's an adjustable rather than buckle collar) nameplates that are flat on the collar and not dangling, so there is nothing hanging off the collar to get caught anywhere, or get chewed on by the cat.
I am always afraid if they have something hanging off they will get it caught somewhere, it's happened before and since my cats wear breakaway collars the result is a missing collar and a "naked" cat.
Since the tags slide right on the collar, they can easily be removed and put onto a different collar if you wanted to switch collars.
One of my cats does have a hanging tag instead, because it is a medical ID tag and a) I wanted it to be as visible as possible so people would see it right away (the nameplate type are not quite as high-visibility) and b) I wouldn't have been able to fit all the medical info on a Collartag, because the hanging tag I got has info written on both sides which you can't do with a nameplate type tag.
I have also used embroidered collars with my phone number, and I still do use that for some of my cats but I like to have the CollarTags too because they fit a lot more info than what you can have embroidered on a collar. Before I used to have breakaway collars from Ragtime Collars for all my cats with my phone number embroidered on them, but they came apart way too easily and most of them are now missing somewhere in the house.
I got an embroidered collar for Harley which I quite like though, it's made out of a very soft material and backing that is supposed to be gentle on their necks. It's from K9 Closet, called a "Kitty Smoothie" collar. I decided to have "Indoor Only" embroidered with my phone number instead of her name, just in case she ever was missing:

I attached a photo (you can see it the very end of the message) of two of my cats' collars and you can see the CollarTags (the metal "nameplate"-looking things) on them.

