single umbrella policy to cover all investment properties

[Nathan Williams]

Hello, wife and I have been shopping for insurance policies for new rental condo.  Property manager wants to be put on a 1 million dollar liability policy.

Is it possible/good idea to get lower liability insurance policy on each property and then get an umbrella policy that covers 1 million liability of every property we own, and add property managers to that same policy if they require?

thanks