If you are really good with emperor, you should not have much problem. Just remember don't go for the early wonder that ai prioritize, like joncnunn said.
Also, you might want to consider get earlier caravan to ai to get science, but it's not that much on immortal this is more helpful on deity.
The difference really isn't much. At least, I felt more comfortable when I move from emperor to immortal than move from immortal to deity.