When you do not have a lot of houses, litigation risk is relatively small and a good rental insurance policy + umbrella policy (e.g., $1M+) should suffice.

You can use an umbrella policy until you get a larger portfolio.

Since I am just starting out I will start a sole prop. with an umbrella insurance policy.

You can supplement this with an umbrella policy that covers you on the back end for any non property related losses such as a car accident.

I just purchased a membership to a service that offers unlimited legal advice, and I have already contacted them several times.Beyond avoiding lawsuits, I have purchased large liability policies on my properties and an umbrella liability policy to help cover the expenses related to a lawsuit if I ever end up in one.

If you have substantial assets, you should look at an umbrella policy on top of that.

Get a $1-2M umbrella policy along with landlord insurance for your rentals.

Add some pool furniture and two umbrellas, and add rent appropriately for a "pool house ".Make sure your pool guy keeps a log and also checks in with you on a monthly basis if there is any problems

The up refers to Umbrella Partnership (often referred to as Operating Partnership). 

Umbrella insurance coverage doesn't increase lock-step with number of units.