Hi Peter.
I made a photo album for you to look at:
https://photos.app.goo.gl/haUqLzSvrzubcLAaA
Basically there are 2 types: the kind that clips, sits on, or otherwise attaches to the microphone itself, and the kind that attaches to the microphone mounting system somewhere.
Of those, there are subtypes too: Foam, screen, fabric, single layer, double layer. There may be more!
In the album you will find a couple interesting ones:
The round one is a double layer fabric and is the most effective. I can basically spit at the mic and nothing will happen. But the fact that the filter is mounted on a gooseneck with a clamp drives me nuts sometimes because it moves (falls due to gravity) over time. I like to use the filter as a spacer when I'm singing vocals and when it's moving it is a PITN.
Some engineers run the gooseneck over the top of the mic so it hangs down instead of being held up. It takes experimentation to get it where you need it, and to get it to stay put.
The parabolic filter sure looks cool. But, it's a single layer screen and it's not as effective as the fabric (and that one also being double-layer). Again, even with it's cool looks, it falls too. All these gooseneck filters can be unscrewed from the gooseneck and fitted with a static bolt and worked with the clamp somehow or even attached to the spider iself.
My favorite by far is the one that clamps onto the microphone body with rubber bands. That one goes nowhere. It's also a screen, however it is a finer mesh than the parabolic and it's effective enough for close micing vocals (within reason). After working with it I want to get another one of those for each mic I have. I keep my main condenser mic on a boom arm and that pop filter always stays in place.
Btw, never leave a foam "clown nose" pop filter on a microphone, especially a condenser. As the foam ages, it crumbles into dust and that will trash the mic. When i'm not using mine, I put a large ziploc bag over it.