Punki, I've been to Munich twice, and loved it both times. Even if one is not a churchgoer, some of the baroque Catholic churches with their over-the-top decor are worth visiting. And if the weather is nice, an outdoor lunch in the market (bread from here, cheese from there, etc.) is great fun.
We did rent a car for our last day there, and toured Linderhof and Neuschwanstein. Two very different castles, with two very different tour guides; both very worth visiting. There's also an abbey or some such on the way to Linderhof that's worth a stop. We did a circle out of Munich, and kept the car overnight to get us to the airport the next day.
I have a bridge tournament in DC starting April 26th, or I'd think about joining you!