LLC in CA, property in Florida

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I am in middle of closing on an apartment complex deal in Florida. I live in CA. From all my research and expert advice, forming an LLC in California appears to be the best option.

My question really is what needs to be done in the state of Florida if the LLC is out of state (Registered in CA). From what I read it appears to be Business Tax Receipts (Business license), County Business License and then something needs to be registered at the state level. Not sure exactly what but the SBA website says "File the business on sunbiz.org"

But all this information is very unclear as to what exactly needs to be done in terms of registering the CA LLC (registering to operate a business) in Florida.

What have folks done who have LLC in other state than Florida but the property is in Florida?

On the flip side if I create an LLC in Florida, I will have to pay 138$ or so per year tax + 800$ California Tax as against if registered in CA then just 800$ a year.