Moving on!
T36: As per lymond's advice, I move my Warrior out of my cap to spawnbust. My worker has to wait for AH to come online to pasture the pigs (5 turns), so I move him onto a forest in Babylon to chop.
T37: The settler is built, and he moves to his spot. I put the OF (14

) into a work boat, and start chopping.
T38: Akkad is founded in the City2 spot, and starts growing on a Warrior, while working a floodplain.
When I check the city screen, however, the trade routes don't appear, even though the Worker finished the road this turn. What is up with that? West of Akkad, I move the spawnbusting warrior to the spot 2N of the Wheat, so essentially the entire peninsula should be covered. I also lower research to 0% for one turn, putting it back to 100% the next.
T39: Never mind about the trade routes, they appeared this turn. My Warrior west of Akkad defeats a Lion that spawned there earlier, and is eligible for a promotion. Should I promote him to Woodsman I even though the only good spawnbusting spots are grassland? Or should I give Combat II, or even just postpone his promotion? I decide upon the latter for now, and am eager to hear your comments. Chopping finishes, and next turn I will have a WB with 10

overflow.
T40: My Worker moves towards the pigs to pasture them. In the one extra turn he has, he will prebuild a road for 1 turn. (I had not calculated the extra turn due to Akkad's maintenance cost.) Our new Work Boat starts working the clams, and I have to decide what to put the overflow in. I decide on a settler - afterwards, I will let Babylon grow to 4 on a warrior, and then switch back to settler to whip it. Is this the best way to get City3 out as quick as possible?
T41: I prebuild the road and switch to settler in Babylon.
T42: AH hits, finally. I start Sailing in order to get cracking on a lighthouse. After that, depending on the situation, first Writing or maybe directly Masonry.
The good news: we have horses! The bad news: they are in about the worst spot imaginable. See the screenshot.
I think my research path, based on lymond's advice, should be okay. What I'm uncertain about is my build orders, though. Was it good to put my OF into a settler and then switch to a warrior? Should I maybe have switched to a work boat, or put the overflow into a worker? This is something I find very difficult to properly manage, and I feel this is the most tricky thing I need to learn if I want to move up towards Emperor.
Edit: I just thought that, without your advice, I would have definitely prioritized Pottery to get those floodplains cottaged ASAP. I get the feeling that that's not that much of a priority in this game, is it? An earlier GLH will probably pay of more...