So we finally get to find out what Tyrion has been up to all this time! Cersei would really like to read this.
He's been bundled onto a ship by Varys and bundled off it again in Pentos by Ilyrio. Dany's old protector; giver of dragon eggs. Ok, so Ilyrio is definitely a player and not a pawn. He's probably in league with Doran Martell. I'm not sure how Tyrion fits in because the Martells and the Targaryens hate Lannister guts, owing to the whole killing Elia and Rhaegar and their children, siding with the usurper Robert Baratheon and so on. Tyrion still thinks of himself as a Lannister even though he hates his siblings and his father. So I'm not sure where that leaves things or how friendly Ilyrio really is towards him. He has some plans, clearly, but we will have to wait for another chapter.
Meanwhile Tyrion is mostly just feeling sorry for himself. He wants to figure out "where whores go" because those were Tywin's last words, in answer to the question of where his beloved Tysha who really loved him ended up. He thinks he could go to Dorne to help Myrcella claim the throne (that obviously won't work out) or possibly the wall. It's interesting how slowly information travels. He is surprised to find out that Stannis is at the wall. He is at least suitably suspicious of Ilyrio.