I asked for recs for last weekend, thanks to all who responded. We ended up at Copenhagen, as it was deemed the most likely to let us linger over coffee, and where having a stroller (with a baby in it) wouldn't be a problem.
Those requirements were met, but fair warning to future customers: they make the worst Eggs Florentine I've ever had. Two of us ordered this, and the food was served room temp, with a gloppy, tasteless hollandaise and soggy, bland previously frozen spinach. The side of potatoes was also very bland.
On the other hand, my friend's super-thin Swedish pancakes were very good, and neighbors' pancakes looked good, too. I'd recommend this place for those who like the sweet breakfasts, but would avoid the savory in future.
Service is strictly order at the counter, so make sure you order everything you might want or plan to spend a lot of time in line. However, they have lots of tables and our wait wasn't interminable.