Tyrion looked at Arya, then at Sansa. Clearly, a lot was going through his mind as they spoke. The pros, the cons, the variables.
Still... through it all, he knew that the Starks had proven themselves to be good people through the years, and easily the most (only?) truly trustworthy people he knew.
"Normally, I feel I'd be telling you both you're being fairly quick to establish yourselves in a place so many seem to come and go rapidly in... but if we're being entirely honest, I feel as though we were meant to be here. To be here after such a... trying time? I feel as though our stories there are told. This is our home now."
He got down from his chair, and calmly walked to where Sansa sat, silently dropping to one knee.
"It would be an honor to serve as your Hand, my queen."