LotR -- Book 3 - Chapter 02 - The Riders of Rohan

[Nilpaurion Felagund]

"Gondor, Gondor!" cried Aragorn. " . . . Not yet does my road lie southward to your bright streams. . . . " . . . drawing his eyes away from the South, and looking out west and north to the way that he must tread. (LR III 2)

This confirms what I said in the previous chapter:

. . . the other choice he was pondering while in Lothlórien--going to Minas Tirith--was made irrelevant for the moment. (Nilpaurion)

He knew going to Minas Tirith was important--Mandos, he promised it to Boromir--, but he chose to go after his friends first.

[Éomer: ]But there is something strange about you, Strider. . . . That is no name for a Man that you give. (ibid)

It seems Éomer and Aragorn already had a bond. He can see through Aragorn's "Strider" disguise!