Take Your Time
When it comes to new updates, there's always going to be the temptation to download and install it right when it comes out. That said, there are some reasons why you might want to hold back from future iOS 9 updates including the iOS 9.1 update.
If you're traveling or you're having a great experience on your current version of iOS, you might want to wait a few days for the smoke from the new release to settle. iOS updates don't abruptly vanish so you can always take your time. You should do so.
Gather initial feedback about performance and problems, prepare yourself and your device, and don't rush into anything. Be it an iOS 9.0.1 update or an iOS 9.1 update.