Rental Property in your name and liability protection

[Matt Harmon]

I am exploring using my VA benefits to purchase a multi. Since this would require the property to be held in my name and I live in one of the units, at least for a few years. How best to protect myself and my family from being sued?
My research suggests' purchasing additional liability insurance, plus an umbrella insurance policy. But how much would be enough?
Is there any other suggestions?