Kolding to Ribe, Denmark, on 8/29, help

Trains from Kolding to Ribe depart every hour, include an additional connection at Bramming, don't require reservations, and may not take reservations, especially for the second leg by regional train. If it's crowded, you may stand for part of the ride. How to Look Up Train Schedules and Routes Online gives you the DB train schedule link and tips for using it. I don't expect that you'll have to go far from the station to find an ATM; there's a post office across the street and banks within two blocks (on Google Maps).

There is no need to go via the Deutsche Bahn site Laura mentions, instead use http://www.rejseplanen.dk/ for all public transport in Denmark.
As Laura mentions the trains don't require reservations, reservations are only for particular seats, not for the train ride itself, but you might have to stand up.
There are usually ATMs in or near the train stations, but truth be told you don't really need cash in Denmark since cards are almost universally used and accepted.

Thank you, the information is just what I needed. Do you suggest buying a ticket online while in the US, or buying tickets the train station? I would prefer to get them there, but only if it doesn't add any risk to our getting to Ribe that night :) Thank you, this forum is invaluable!

I would buy them in Kolding. As said reservations are only needed for seats, but are not mandatory, and you can only get reservations for the first leg of the trip to Bramming anyway. The train would have to be so packed that you physicly can't enter it in order for you not getting to Ribe that night and that is extremely unlikely!

Thank you again, we can now get there without worry. I can't thank you enough!!

You're welcome. I can understand your worries, so im only happy to help.