Best way to invest $250,000

[Jake Fugman]

Hey BiggerPockets! 

Im new to BP and soon to be working towards my first "major" move as an investor.  After selling my logistics business and 2 rental properties Im looking to leverage $200,000 - 300,000 cash the best way possible to achieve long term financial freedom.   Although I have the luxury of a small pool of capital I would prefer to start slow by managing as much of the process myself to save time and gain experience. 

Im leaning towards applying BRRRR method on a multifamily or a few 2-3 bedroom units that are in good areas to maximize cash flow (open to furnished rentals VRBO, AirBnb, etc).  Im also considering living in the first property that I rehab to gain direct experience in the project managing and/or finding a good GC. 

I am targeting Chicago and the surrounding areas for now but eventually open to less established markets.  Would love the portfolio to net $8-10K per month after 5 yrs and a few low risks transactions (BRRRR).

Does 10-15% cap rate exist on $750,000 - 1,000,000 multi unit buildings assuming I needed to put 20% down?  Or smarter to hope for 10%+ average cap rate on several smaller units?  

Any words of wisdom based on success (or failure) taking a similar route would be greatly appreciated!!

Jake