My question is whether it would be possible to get an investment/asset loan (based on the property income/performance not my own credit/income) itself under an LLC and rent it to myself.

Add'l question for you @Dave Foster - our building is currently held in LLC - 75% by my father, 25% by me. 

I am purchasing my second property and was thinking if I should establish an LLC to put my houses under rather than I get hit for it around tax time. 

I am being gifted a home in Oklahoma that is in an LLC and need to know the best way to move it out of the LLC to a personal name.

Do you have an LLC for each property with each having its own bank account?  

I have a rental property in an LLC.

You can bid higher than the asking price and make a lot of money immediately, but you have to understand what true cost to the REI is, and how to arrange the flow of money to and from the REI...through the deal first.3 - What a REI plan is, how to design one specific to the REI (not anyone else), and understand that your plan is a series of connected decisions, with each decision you make is based on the criteria needed to lead directly into the next step of your plan. 

I want to make new leases in my LLC's name and as an insured party for each tenant. 

Creating an LLC with three members and later buying out one of the members would not create a new basis for the property. 

One of the major downsides of using an LLC is that you cannot get agency debt on those properties.