OK since everybody else is gung-ho on keeping our empire intact, I'm not going to give away Sevasteia. For the record, if we give away Sevasteia, the current tech can be researched in 8 turns with +12 gold, compared to 9 turns with +5 gold now. Multiply that for 200 years (from the time Armenia appears when we can gift them the city till we conquer it back from Rum)...and that equals almost a full tech.
1: Uneventful.
2. Rebel peasant appears near Amastris. I send the extra archer from Sinopi and the Cicilian horse archer from Ankyra to meet it. I find that Sur is only defended by a single archer so I send our supped up swordsman to go raze it.
3. Archer defends successfully against the stupid peasant.
4. Ach, Makuria vassalizes to Abbasids. More Thracian barbs near Adrianopolis.
5. Sur is captured and razed, and we get 90g. Now Damascus can really grow bigger (the dye is under our control).
6. Refugees arrive in Damascus.
Tsar Simeon is killed outside Adrianopolis, but 3 more Bulgarian raiders appear...
7. ...and we kill them all. Smyrna finishes lighthouse, and I start Narekavank there (since it's going to be a great person factory for us). Heroic Epic finishes in Ankyra. Great saint born in Constantinople. I decide to settle him as the Patriarch of Constantinople, since it's still really early in the game (and the money he'll bring us will be good).
8. At last, our first learned tech! We get a free caravan with it.
It appears both Armenia and Makuria have Botany. Abbasids have Botany, Education and Crucible Steel. I trade for Botany + 20 g from Makuria with Astrolabe (the least useful tech for them since they nowhere close to water!). I also recall our mercenary from the dreadful heat in Egypt. Crucible Steel next.
9. A newly built horseman kills a Muslim Horseman just outside Kaisereia.
10. Damascus' borders expand. We can work multiple tiles there. Ankyra starts Tannery (5 turns) (it won't detract from its health since it's such a small city, relatively speaking) which will help troop production a lot.
To do:
1. A caravan is on its way to Armenia. A spy is on its way to Iraq.
2. The Seljuks will appear soon and we'd better have enough troops near Sevasteia to counter them.
3. Interestingly, Smyrna is our most productive city (Narekavank in 14 turns there).
4. Trapezounta can really use some farms south of it. Just be careful to protect the workers.
5. After Crucible steel, I would do Engineering, and build Kutlag-timur in either Damascus or Tarsus (need Islam to build it).
6. Next turn, Merkurios learns Cash Cropping--we should trade for it.