Focus on cashflow and growth, earning money for more down payments on more properties.

I recommend that you look at Notice of Defaults, Vacants, Tax Liens or Probate. 

@William TaylorMichigan has some of the most complicated property taxes in the USA.

@Brice Alef-Torrisi putting each property in its own LLC is usually overkill.Getting a bank account for each LLC is typically something you need to do to avoid "piercing of the LLC corporate veil" (actually depends on tax selection you made for LLC), but is also overkill.You haven't indicated how you are holding the deed for the latest property.If in your name or same LLC, you don't need a separate bank account.If in separate LLC, you can create a Master LLC, have each property LLC hire the Master LLC to manage their affairs, and just get a bank account for Master LLC.This is an opinion, not advice, so lookup CPA Frank Alcini in Troy for expert advice.

BUT...if you're American and can still get loans in the US (the silver lining of having to still file US income taxes while living abroad), then why not use leverage?   

Am I setting myself up for a tax nightmare?

Dig deep into tax strategy, tax efficiency, etc  Learn about estate planning. 

Most on this forum can't even come up with a downpayment, you can't expect them to ride HOI/tax increases, vacanices, etc., with lower leverage and less cash flow on a property.

Quote from @Samuel Hudson: Hello friends I am new the market and recently bought a home in Weehawken 6 months backs .Its a three family home and we are currently doing renovations Right now.The rent leveling board told me that two units would have to follow a rent of 1650 for unit 1 which has three bedrooms and another unknown amount for unit 2 which they don’t have the information for .The previous seller I purchased the property from bought it as a tax lien .He has kept the property vacant for two years with no tenants before selling it to me .However ,the previous Owner he bought it from must have had tenants .I am putting in a lot of money into renovations and want some clarity on the situation I am in .The property has been vacant for the two years and currently still is as we are doing renovation .It would be really appreciated if anyone can assist me on what information needs to be provided by from the previous seller for me to be able to set the rent based on the market value .Thank you . 

From tax stand point I would think you can separate from primary and be okay with IRS being that IRS will not be local code enforcement.