I am under contract for a property out in Columbus and they are one of the few property management companies I am considering going with! 

@Dwight HenningRecommend exploring as many sources as possible to get referrals AND cross-reference them to get as much accurate information as possible.Check out NARPM.com, BP’s Property Manager Finder (BiggerPockets: The Real Estate Investing Social Network), etc.Also, encourage you to learn from the mistakes of others - by reading posts here on BiggerPockets about owners not having their expectations met by their current Property Management Company.

A manager will roughly cost $100-$150 a month to take over a unit (it could be more or less in your market) and manage the units.

Does anyone have any referrals for property managers in the Los Angeles area who specialize/ have experience in mid term rentals? 

We have a STR managed by a property management company.

One of the most important steps you can take as either a startup landlord or seasoned one is to use a platform specific to property management as it will elevate your operation and save you tons of time.The good news is that nearly every software designed for landlords includes these features.

@Tammy Elias The lease is tied to the property, not the management company.

That's for all "standard" Property Management "things". 

@Kyle McVay I self-managed my first 5 units and then transferred all new units to a PM.

Try interviewing at least three managers.1.