I hear my father was the same age as I am now when he moved to Tokyo.
Literal
Father [subject-が] came-to-capital did time [in-に] [contrast-は] now's my [with-と] same age was [hearsay-そうです].
上京する means 'to go up to the capital (Tokyo)' — a word rooted in the historical importance of the capital. ~そうです marks hearsay: 'I hear that.' 同じ年齢 = 'the same age.'