married, separated, how to handle 2 homes and 2 kids?

Wife and I are separated (not legally), getting divorced amiciably eventually with no lawyers.  We jointly owned house #1 nine months last year (live in Indianna).  Then I bought my own house, she refi'd #1 and I signed quit-claim; is quit-claim considered selling for tax purposes?   

 

#1 was my "main home" (TurboTax term) for 9 months of 2017 and #2 was "main home" for 2 months.  If we file separetely, do I claim half of the #1 property tax deduction / etc for those 9 months?

 

Also we have 2 kiddos 50-50 joint custody, can we each claim one of them?

 

Thank you in advance!