Social Security

I am 65 and my full retirement age is 66 & 8 months.  My wife is 63 and full retirement age is 67.  Her spousal benefit would be greater then her own SS.

 

I plan on taking SS at 66 & 8 months, my wife would not be at FRA.  Can she take 1/2 of my SS when I begin?  If so, can she change to a higher benefit when she hits FRA?  Thank you.