Hi Alex, you will have a harder time cash flowing on zero down but im sure its possible if you buy right.
First educational thing you need to learn is what it really means to cashflow. Its not just covering your mortgage payments.
If you can get off market listings and buy underpriced that is your best bet but if you have few connections and havent yet built a network you will need to buy MLS market deals.
First action step i recommend you do is talk to a lender and see what max loan size you qualify for in the single family and duplex property type. And how much money you need for closing costs.
Once you do that find a house for that price or less where you can at very minimum cover mortgage and utility expenses with your rents while living there for free
You may have to be creative ie: using your living room, attic, etc. as your bedroom to make it work but depends on you and what you are comfortable with. I only say these things because it has worked for others