In case you've wondered what I've been riding... here's the first bike I had until Sunday. It has since gotten a punctured tire (somewhere near Christiania) so I had to trade it in for another.
This one was a Batavus with brooks saddle - SRAM, etc. It was a very nice ride!
I specifically asked for a girl's bike with a basket - otherwise, the standard Danish men's bicycle is nothing like this. Most of the men I've seen are riding with the seats quite high, on a sporty carbon frame - and I'm really shocked at the number who are wearing helmets! It really never used to be that way.