Help me understand these approaches

[Alison Lee]

It seems like there would be less headaches by simply buying one property outright with cash versus leveraging 8-10 properties. 

I'm in this pickle right now where I'm sitting on a pile of cash and contemplating each of these options. My math shows I can buy one brick ranch for 90-100k, rent it for 1k/mo and collect my earnings with little headache. However, I could also use leverage and buy 8-10 similar properties that would probably spin off roughly the same net cash flow as buying one outright. 

What's the pros and cons for and against these two approaches? It just seems like a huge hassle doing it via leverage and being responsible for that many structures when the cash flow would be similar for many years. I guess the main attraction through the leveraging approach is the upshot in networth it would eventually create versus only owning one property outright. Thoughts?