Same as any other performance issue: Use Shark and/or Instruments to identify bottlenecks in your code, and then focus on how you can speed things up there. Each tool will give you a picture of how much time was spent in what parts of your code, so the general scheme would be to run the tool while you start the app and then pore over the data to see where the performance hits occur.
At app startup time, the most likely candidates for improvement will be deferring data loading until later on when it's actually needed, variously described as "on demand" or "lazy" loading. Essentially, don't load any data at app startup unless it's actually needed right away when the app loads. In practice, lots of stuff that may be needed at some point doesn't have to be immediately available when the app starts. For example, if you have a database of N records but only one is visible at a time, don't load all N into memory at app startup time. Load whatever the current record is and then load the others when you actually need them.