Looking for guidance: refi 2 houses and buy another

[Carson T.]

 I'm hoping someone far more savvy than me can help me navigate the ins and outs of my next move. I have two houses. My primary and a rental. Both houses have conventional loans from two different banks, and a heloc on the primary that is just about paid off. I plan to move to the Austin Texas area in about a year. What's the best way to pull equity out of both houses and get a lower interest rate. My current rates are 4.25% (primary) and 5.25% (rental). Can one lender do all of this or am I looking at multiple lenders? Does planning to buy out of state bring up other issues with banks. Would doing it this wreck my taxes if I didn't buy a house within that calendar year? 

Thanks, I hope everyone is well.