I sm s fan of both. When I was younger, I got started on old Batman, Superman, and Legion of SuperHeroes comics from the 50's and 60's. These are what my dad read ,and so he passed them on to me. Eventually I also got into Marvel stories from around the same time.
I love them both for different reasons. DC is CLASSIC. At least IMO. I think it has a great sense of history, much more so than Marvel. Some people would think this is a bad thing. But I have always enjoyed the fact that you can read a character that your father/grandfather/whoever also enjoyed.
Marvel is great with changing with the times. In general, their comics seem more topical and relavent to what's going on in the world today. Of course, this also affect the old comics. Many times, I can pick up an old Superman, or Batman, and still enjoy it. This is often harder with Spiderman or Xmen. But I'm sure at the time people were thinking, "Wow, Spiderman is going through the same **** as me!"
I'm not saying that either way is better. They're just different, and I appreciate them in different ways because of that.
I also think that DC is much better at playing around with their characters. By playing around, I mean thinkgs like ElseWorlds. Maybe it's just me, but I always thought that ElseWorlds took What if..? to the next level, and was much more successful at it. DC has characters that can be recognizable in a multitude of ways. Of course this is because they haven't really changed that much over time. At least IMO.
And as for the hatred of Superman (just wanted to get this off my chest because I keep hearing it), give the dude a break. Every character has ups and downs. And yes, he can be too powerful. That's why the really good Superman writers (such as Waid and Ross) look more at the question of what to do with that power. When that conflict is there, a truly engauging Superman stry can be possible.
But again, that's just me.