What are your favorite Zelda games for console and for handheld and why?

I'm about to start playing Oracle of Seasons & Oracle of Ages. Not too clear on whether or not they are completely different games or if they are extremely similar with small differences (like with Pokemon Red, Blue and Yellow). I'm finding out that even when it comes to Zelda games, you can't really find older handheld system games at stores. Lost a bid on Ebay for Oracle but I'll get my hands on it soon. Anyway, I just love talking about the Zelda series.