Property insurance/ general liability (for property) + umbrella?

[Dana Yobst]

Hi, I'm new to investing and am currently in the process of buying 3 multi-tenant building. I am going to put them in an LLC and am looking at insurance. The quotes I'm getting are 1) dwelling insurance PLUS 2) general liability (1 million per occurrence with 2-5 M aggregate liability). I had thought I'd use a personal umbrella to cover the properties and my personal auto and house rental (don't own my home) but I'm thinking that is overkill as the properties will be well covered by the liability.

Thoughts? Advice?