You mentioned that you wanted to avoid your dad's mistakes, but didn't mention what those items you wanted to avoid were.
Also as far as paying off your debt. I would use your cash to pay them off and not your home equity. The equity in your home is what will allow you to sleep at night knowing no matter how the market turns your house value will not immediately go upside down.
You have options but none of us can really tell you what is best for you because you have to decide for yourself how you want your future real estate business to look like. New construction is nice, but has a longer time frame than a light-moderate remodel for a rental, so it depends on what speed and goals you are wanting to achieve in your desired time frame.
Side Note: If you are interested in meeting other Cincinnati investors, you can find a local meet up in the Event & Meet up forums for Cincinnati. We meet on the first Thursday of every month and bring in a different speaker to educate and network with the group.