Sell paid off house or lease?

[John Geer]

I live in Texas. Currently own 2 homes (the one I live in and another rental property). Both of my properties are family homes (3 bed 2 bath).  My current home is already paid off. I could potentially lease this home minimum $1750/month based on the area. I am leasing out the second house which is paying all expenses and profiting about $450/month. My question is this: would it be better for me to sell my current house which is already paid and get lump sum of money (which has also appreciated about $75K since I bought it 6 years ago. I could probably sell it for $225-230K if not more), OR buy a third home (that I would move into), keep the house and lease it to get about $1750/month in profit? If I were to sell, I am thinking of using the approx $225K towards 2 down payments and pocketing the rest. Thanks so much guys, really appreciate any advice. 

By the way, I could also get a physicians loan since I am fresh out of residency. Thanks again!