Allot of comes down to credit and income to debt ratio. A could place to start would be to speak with a lender in that area so you are fully aware of what you are looking for. This also depends on how much you sell your current home for. Yes they will peak at your income for the past 2 to 3 years and making sure you have stable income. Good luck to you.
Some people just rent for a while as they get acquainted with a new city and are searching for employment. That might be a good option for you unless you have enough cash to purchase a home outright. Good luck with your move!