This strategy would accomplish your current goal of obtaining LTR properties and also being able to recycle your cash indefinitely(at least, that's the goal of a successful BRRRR).

I've come across a potential rental investment in a great area.I was recently notified that the property had some mold remediation performed.I'm now concerned with being able to obtain renters, once they are made aware of this mitigation.  

Between these two resources you will be able to obtain a lease agreement.

How do you transfer the deed of a rental property to a LLC if bought under the personal name to obtain the loan?

FHA will not insure a Mortgage if it is determined that the transaction was designed to use FHA mortgage insurance as a vehicle for obtaining Investment Properties, even if the Property to be insured will be the only one owned using FHA mortgage insuranceI know a lot of people use FHA for multi-family but is it always the first loan they take out? 

Better results with less risk can be obtained through Hard Money lending funds.

Having recently obtained my real estate license and Property Management Master certification from the California Association of Realtors, I’m seeking that essential “real-world” experience in landlording/property management.

Purchase a distressed property as a cash buyer (may help negotiate a lower purchase price) by using a personal line of credit and some of the 10k, then obtain an 80% LTC loan to renovate the property.

Have you obtained a qualified estimate of how much it will take to renovate the units and make them to pass code?

Obtaining a HELOC is an excellent option as long as the ROI from the projected investment looks good.