doing the refinance and  buying  a rental  should  be able to be processed /  approved   simultaneously ....you might be able to use one credit report and  use  credit supplements  to update  accounts as needed .....I would recommend  closing the refinance  first and then  closing the  rental property  1-2 weeks  after the refinance  closes

Appraisal and approval is done and deal is firm..A pre approval is as good as cash in most properties in Toronto area..I had a few properties in Chicago and Indiana where the deal collapsed 14 days before closing because of financing.. that rarely happens where I am from.. 

@Zilma Yotte-JohnsonIts been a few years for me, but with DTS you need to be on the approved list of hotels to get into the system. 

Working on getting approved with a commercial lender at the moment. 

They were written by BiggerPockets and approved by attorneys for your specific state.

They could sign up for Obligo and, once approved, get their traditional deposit refunded.

So first we are approved for the line of credit and underwriting for that, then each property loan application goes through an underwriting process similar to a hard money loan experience. 

Like @Ricardo L Knight suggested you should get pre-approved for a mortgage loan.

I wasn't sure if I was suppose to run the numbers as if I wasn't living in the unit.I was pre-approved for a mortgage through Veteran's United about two years ago.

So if you have final judgment which the Magistrate has approved then figure another 3-4 months to have the Sheriff's sale scheduled.