Become a MacRumors Supporter for $50/year with no ads, ability to filter front page stories, and private forums.
You might consider using something like Pushover with a combination of IFTTT.

Here's their weather channel that you can push to Pushover which pushes it to Notification Center, etc:
https://ifttt.com/weather

You can use it to get a daily update of the weather conditions for that day, or warn you when it's going to rain, etc, etc.
 
I'm interested in this too. Apples weather app just isn't that detailed but I like it being in notification center.
 
Register on MacRumors! This sidebar will go away, and you'll see fewer ads.