I never heard that you shouldn't handle exceptions in Android and I can't think of a signle argument for this statement.
Whenever you can handle an exception i would use the try/catch block to handle the exception right at the place. When it is not possible to handle the exception there, I would throw the exception, and handle it somewhere higher in the method-calling-hierarchy.
Then, there is also a UncaughtExceptionHandler. You can define this ExceptionHandler in your activity. This exception handler will catch all exceptions that are thrown and that aren't handled any where else.
However, I would not recommend to just "silenty" catch them there.