Sell or cash refinance?

[Katherine Han]

Hello everyone!  I am Kate and this is my first post on BP. Love the energy and education on here. 
I live in Pflugerville a nearby city of Austin, Texas.  Lately, I have been gravitate towards the short term vacation rental in Alabama or Florida.   My dilemma is my concern for my debt to income ratio. I have one four fully paid off ($450K & will rent out between  $2200-2400) & just closed on my another house (after down payment, loan of $300K) that I am moving into this week. 
Question is should I sell my house to buy two rental vacation houses or should I just cash out refinance my fully paid house for capital to buy 1 rental vacation home? Not sure if I would be qualified to buy a short term vacation between $400-600K. 
I would love to hear others’ suggestions & guidances.  Thanks in advance.