Equally as important questions, but are a little more personal, are: What is your credit like? Do you know what your credit scores are? How much is your income? Self-employed or employed? Salary? Commission? Bonuses? What are your annual property taxes & homeowners insurance? What are your other monthly minimum required debt payments (credit cards, car loans, student loans, personal loans, alimony, IRS payment plans, etc.)? How much is in savings/checking/other assets like stocks, mutual funds, IRA's, 401k's, etc.?
I am not expecting you to answer those questions (at least not in this Q&A so everyone can read), but I am just letting you know what information you should be prepared with to make it as quick and painless as possible to determine your refinance options with any mortgage loan officer you approach.
As far as purchasing, in addition to the information in the information above, you should also have a rough idea of the price range you are looking at, how much you want to put down in terms of down payment, and if there is a renter in there already then that can help with the debt to income ratio if needed.
Rentals are doing well as most are cash flowing right away due to the low prices. Do you want a rental in Maricopa?
Arizona Homes for Sale by a Guy from Iowa