Selling one and buying several is fine. 

I have better luck with posting in the zillow rental section;   rent before you buy, live in a great property while you get yourself ready to finance a great home....Our business model;   protect the buyer or tenant at even our own expense. 

Unless you've done substantial improvements to the building or used a large down payment when buying, it's unlikely this will work.Perhaps your best move is to find a new primary residence that is 2-4 units and repeat the process.

In many countries foreign investors buying rentals can't get loans or loans at all. 

I use Foremost for my mobile home investing business with the properties I buy and hold.

I currently reside in Ohio where I buy SFR rentals and do a couple flips a year.

While they aren't the cheapest when you first buy them, Kwikset has locks that are easy to rekey without installing a new set of locks.

PS - Since 2003, Dean & DeWitt Property Management has helped investors buy, sell, and manage investment properties in the St.

Quote from @Robert Medina:  I’m trying to figure out how I can pay myself and buy another property. ...

AND there aren't many note buyers who will buy notes with large balances in the range you mention.