I used "the good hands" in apartments and now have a damage/liability policy with The Hartford (through Allstate).
Most importantly is to make sure that you are covered if you are using the equipment for business. The standard renter's policy will cover a big TV and gaming system, but not a bench full of test gear or rack of audio equipment. That requires a commercial rider or separate policy. If it is only a studio then you will need a commercial policy. A claims adjuster will know the difference.
Definitely a necessity in an apartment because you never know when someone above will flood their place, theft, spikes, etc. Go to two agents and you should have two close quotes. Some advertise in Mix or Tape Op.
Mike