Tivoli is not just for tourists, Danes go there regularly too. Not
exactly Disneyland, but Disney may have actually copied the concept from
Tivoli. Rather classy, a blending of family & youthful interests, a
venue for cultural events, with a variation of prices to suit almost any
Admission costs have actually dropped this year, so that it's
quite reasonable (39 kr), and once you're inside there's a lots of
free entertainment : concerts, circus numbers, pantomine theater,
everything very pretty and laid back, nice places to eat and drink, scads
of impossibly beautiful girls (& guys) running around looking to
have fun, and wild rides if you're interested.
Another amusement park farther out of town is Bakken, which
is gratis entry, and a bit more working-class atmosphere, no reason not
to try them both.
You can find a link to Tivoli's own official web site in Kbh Links.