Android :: Repeating Alarms With AlarmManager And Daylight Saving / Leap Years

I'm looking for a way to trigger repeated actions. I'd like the user to be able to choose the intervals at which these actions will be executed. One should be able to choose from intervals like "Every Day", "Every Month", and "Every Year". The setRepeating(int, long, long, PendingIntent) method of the android.app.AlarmManager class only supports a long value for choosing the interval between the execution of the pending intent. My problem now is, that I can not just compute the number of milliseconds that "fit into one day", since not all days have the same length (daylight saving). This is also a problem for the interval type "year" (leap years).

I had a quick look at the android.os.Handler class, but as I understood the documentation I'd need to keep a service thread running for my actions to be executed at some future time. I don't consider that a good option for my needs ;-) Is there anything in the API I could configure with a cron expression or the like? I was also thinking about scheduling an alarm with the AlarmManager for a single execution at a given date/time and then having a receiver that does the rescheduling according to a cron expression attached to the intent. But I don't know if I just got something completely wrong here and I'm reinventing the wheel with that approach