All great advice so far. Another thing to consider is what's your time-frame for moving by? Is there an opportunity to save more money between now and then for paying off CC and getting enough for a down payment on a duplex?
I think your decision starts with getting a very firm idea of whether the LR house has the potential to provide you with a good cash flowing asset. Then after that decision has been made, decide on how to play your equity/debt in either two markets or allocate it all to your new market.
To determine if LR house will be a good cash flowing asset for you I'll expand a little more on what the previous posters wisely mentioned:
What amount of rent could you realistically get for your LR house? Now factor in some vacancy (reduce your rent by 5-10% to account for turnover on tenants when no income is coming in). What's your expected revenue left over now?
Now total up your monthly expenses.
1. Mortgage payment (are you on a 30yr fixed? if not, be prepared that your mortgage payment could change at the end of it's current term)
2. Monthly insurance cost (keep in mind you might need a different type of policy if you aren't an owner-occupier any more)
3. Monthly property taxes
4. property manager, 8-10% of your monthly rent (you could save here by managing tenants and maintenance yourself, but you don't want it to become a burden down the line since you'll be out of state, so I would evaluate the house's profitability WITH a property manager just so it's already in your expense budget should you need to use one)
5. Lawn care (if your tenant isn't expected to per your lease)
6. a monthly allowance saved for minor repairs (if it's an older home, error on the higher side of this)
7. a monthly allowance that gets saved up for larger repairs (roof replacement, HVAC replacement, appliances, etc)
What's left after subtracting the expense section from your revenue section? If it's still $100+ a month, I'd lean towards keeping LR and over the next year or two save as much as you can towards a down payment for Dallas. If it's not, then I'd look at selling and using the proceeds to go towards the Dallas property...if you purchased LR a couple of years ago, chances are the current market value is 20% or more than it was when you bought it.
End of day, if your house in LR is a good cash-flowing asset with the current debt under it, find a way to keep it. But if it's not, it could eventually become a bigger liability and now would be a good time to sell it and use the proceeds towards your very wise house-hacking plan in a future market.