Agree with Fred that the odds are in our favor, so attack the cities before taking time with other units.
I really don't think the order of attack in Kufah will change the odds dramatically. Basically there are two somewhat competing factors: attack with your best units first and use the cats first because they weaken all other units. Since there are only two units defending, attacking with a sword and Xbow first would seem optimal. Then, if both defenders survive, go ahead and use both cats. If only one survives, attack with the best unit first and proceed in that manner.
For Damascus, the order is more critical. Bombardment will have limited efficacy, and by attacking first with cats, it's very likely that you'll win 4 of the five subsequent battles (think you'll be 85% or better) and hopefully the chariot can take care of the survivor. So attack first with both cats and then units -- the most powerful first, proceeding in decreasing order of their power. It would be most unlikely that you will do worse than having to finish a badly wounded unit off next turn with four surviving units.
I really don't think the order of attack in Kufah will change the odds dramatically. Basically there are two somewhat competing factors: attack with your best units first and use the cats first because they weaken all other units. Since there are only two units defending, attacking with a sword and Xbow first would seem optimal. Then, if both defenders survive, go ahead and use both cats. If only one survives, attack with the best unit first and proceed in that manner.
For Damascus, the order is more critical. Bombardment will have limited efficacy, and by attacking first with cats, it's very likely that you'll win 4 of the five subsequent battles (think you'll be 85% or better) and hopefully the chariot can take care of the survivor. So attack first with both cats and then units -- the most powerful first, proceeding in decreasing order of their power. It would be most unlikely that you will do worse than having to finish a badly wounded unit off next turn with four surviving units.