Guys, need some advice on bicycles.

I’m thinking of getting a bicycle for fun and exercise.  It would mostly be used for riding on paths in the park with the kids and trying to get a little exercise.  The most I’d ride in a stretch will probably be 5 miles or so, but I’d be going over rolling terrain.

What I see in my mind is my old Schwinn 3 speed with a fat seat and straight handlebars. But, since it’s not 1979 anymore, I’m sure something like that isn’t exactly common.  Seriously, I’m not hopping rocks or doing the Tour de Kentucky, so I want a simple, straightforward bike.

I’m a big guy, with longish legs (6’4″, 32 inch inseam), so I’m probably looking at a 26 inch or bigger bike for comfort.

As for cost, I know I can’t go cheap and expect a good bike, but I’d rather not spend a house payment on a bicycle either.

Are there any brands that you all would suggest?  Any that you’d stay away from?