@David Bell, that is a good question! There are ways to do it, and plenty has been written about it on this website and in many books on REI. The answer, at least from my experience, is that it is possible to acquire your second (and third, fourth, etc) properties. But, it isn't always easy or obvious.
One example, is to acquire your second property by buying a distressed property using a hard money lender, rehab the property to increase the value, get it rented and later refinancing with a conventional mortgage. The increase in value by rehabbing it becomes your down payment when you refinance. Of course, this is more complicated then my summary - my paragraph summarized a whole chapter or even book on the subject.
It may take time and effort (and nerve!) to learn about and utilize the ways to accomplish scaling up, but it can be done.
By the way - I am originally from Woodbridge, NJ, so I know East Brunswick very well. I moved to Colorado several years ago.