Vuetify offers a few icon font options:
https://vuetifyjs.com/en/features/icon-fonts/#usage
Is there any performance difference with these choices?
The actual runtime performance should be pretty similar, the main difference is how much data they load.
Material Icons is google's official icon set. It uses a ligature font which is about 125kB.
Material Design Icons is a third-party project that contains all of google's icons plus a few thousand custom ones, and is pretty big with 324kB (52kB gzipped) of CSS and a 384kB font.
Material Design Icons - JS SVG is a 2.7MB (750kB gzipped) js file, but it allows you to import only the icons you're using so in practice is much smaller.