If you are talking about 9 handed ring, not Rush, there is a slight change in aggression level, and more players are playing more cleverly. There will be more baby sharks. Less ABC. But it's slight. You'll have a chance to figure the players at your table out.
The real difference is going to be in you. Right now, you are probably relatively OK with losing a buy in here and there, especially with the AA v KK or QQ matchups, and the river beat downs. If you can ride through those at 10NL without tilting in the slightest, then you may be ready for the next level.
The question will be whether you are bouncing off the walls in pain when you lose $25-50 at a pop. Be ready to move back down quickly. It takes some adjustment to be able to weather variance at amounts that start to really hurt. A month's worth of gain lost in five seconds -- not fun. And that's why you may want more of a cushion in your bankroll rather than less. It makes those new larger hits less tilt-worthy. It's about comfort zones, more than what other players do. It's about not playing scared.
Having a larger-than-absolutely-necessary bankroll can help you deal with variance better. At least for me, tilt is a struggle, and I focus on doing whatever keeps my head straight. Patience, discipline and bankroll management. For me, BRM is also tilt management.