Actually making a proper Absinthe is not easy without the spoon and spigot. If you do not have the spigot, fill a pitcher with ice and then pour the ice water from it through a very narrow funnel as slow as possible over a sloted spoon with a sugar cube into a rocks glass with a shot of Absinthe.
Here's a good picture of one with the proper glasses and spoons. If you have any shot of even liking Absinthe at all, it must be prepared properly (unless you're a licorice whore).