How to Start an LLC and Remain Anonymous

If my State requires that I put down Members and Managers, how can I remain anonymous? If my Private State LLC wants to operate in a State as a foreign entity, how do I remain anonymous? This can be done with a few extra steps.  So I bought some rental properties in the name of my LLC because I do not want my name on the deed nor do I want former tenants showing up at my current residence for safety reasons.  I also do not want to get sued.  I had only one problem, I now have to start an LLC in a State where I have to put down Managers and Members. When forming an LLC in one of those nosy, public, everybody deserve to know who you are and at one point become envious of what you own, you simply create 1 or 2 LLC's in a State that is private.  For example New Mexico charges a one time $50 fee to form an LLC and you never have to renew in New Mexico.  So for $50-$100 You can be the private owner of 1-2 LLC's in New Mexico and then add those LLC's as the ...