Is there a good website in English for the Denmark train system?

I'm going to be staying in Copenhagen, but would like to travel to Germany, Sweden, etc. I'd like to know how long it will take by train as well as the rates, schedule, etc. Is there such a thing?

Thank you Kristina for that site. It is helpful for times and places but is there a way to find out the fares? Or is there another site that includes the cost as well?

Ive got these cites for you:

Price list:
http://www.railpass.com/new/passes/pass/...

http://www.scandinavianrail.com/?gclid=C...

http://www.eurail.com/1_railway_denmark?...

http://www.raileurope.com/us/rail/fares_...

Hope this link can help you:

http://www.dsb.dk/indland/ and change the language into English

it should include the costs on their website...I am american and live here and get by with it. it will show the cost in kroner.

On this site you ask for train advice, and when you select a train you get an option buy a ticket.
From there on the site is in Danish, but you can still read the prices:
http://www.rejseplanen.dk/bin/query.exe/...