How long should it take after you start renting out the place should you refinance?

@ShaVontze Tamaz Markell Young That depends upon the bank you are working with.  Talk to all the banks in your area.  Some community banks will refinance with a signed lease.  Most banks will require the property to be leased for several months.  Some banks will require it to be leased up to as much as a year before they refinance.