>> I am curious what you mean by rework tweezers. Link please!

Hakko FM2023-05 Mini Hot Tweezers Kit or Hakko FX8804-02 Hot Tweezer for Hakko FX-888 for example.

>> I wish there was some way to switch tips that didn't involve letting it cool down

I replace tips while hot: the sleeve is not hot.

Depends. The ancient Weller that I have has a sleeve you can unscrew but that sucker gets burning hot, and the thumbscrew locks up unless you cool the tip down, which you can do by holding the thing on your wet sponge.