Hey @Danielle Dickens, personally we've purchased 2 MF properties in our names, so each property has it's own personal liability protection. Up to X dollars. (usually value of home + 10%, either way the amount of personal protection from my insurer is more than the home is worth).
Since our net worth on paper is less than the liability protection, we opted not to LLC.
I thought too about the property management company, and I was a property manager in commercial prior to being an agent, and I'll tell you that the tenant will go after the owner of the property verse a manager, since ultimately it's the owner employing the manager. Also, if it's Danielle the owner and Danielle PM LLC, a lawyer will be able to pierce that PM LLC, like the other user mentioned, they'll see it's the same person...
We purchase in our own name in order to get the low down payment loans, LLC's would have to buy a commercial loan.
Quickly our net worth increases, so once it surpasses each properties personal liability value, we'll get the umbrella policy.
Not a lawyer, not a CPA, just personal experience. Hope this helps! I focus on saving my money, making as much as I can, as I grow, LLC's will be a natural part of owning Real Estate. Good on you to think ahead.
If you ever want to grab coffee and talk REI, shoot me a note, happy too!