I have a bathtub which also is a shower, and it has a twist-and-pull type drain. Currently I never actually use the bathtub for taking a bath, only showers. Unfortunately it keeps getting clogged with hair.

On the one hand I could get a hair stopper that fits over it:

But I'd prefer to just install a mesh/screen that is always open and looks much nicer:

Is there an easy way to convert this type of drain?