How do I get from Lubeck to Berlin using public transport?

I am staying in a place near Lubeck called Scharbeutz. I need to get from there to Berlin. I'd like to get the train - is there a direct route or do I need to change? If I need to change, where would I change? Any idea how long it takes? How much should I expect to pay?

My internet access at home is playing up, so I know this is cheeky but please if you can give me an actual answer rather than a link (or as well as) that would be brilliant. I'm flying out from London to Germany very early tomorrow morning and won't have internet access while I'm in Germany so swift help would be very much appreciated.

I would be travelling on Sunday evening or Monday morning (I can do either just as easily).

Thank you very much for any help!
Hi there, there are 3 legs to your train journey, the first from Scharbeutz to L?beck (20 minutes), the second from L?beck to Hamburg (40 minutes) and the big one from Hamburg to Berlin (around 1 hour 40 minutes). Your last train on Sunday evening will leave at 20:36 from Scharbeutz connecting at 21:05 in L?beck and 22:08 in Hamburg (finally ariving at 23:44 in Berlin). The first one on Monday morning will leave at 5:32 connecting at 6:04 and 7:07 respectively. These will run hourly throughout the day with departure times always roughly at :32 past the hour from Scharbeutz, connecting :05 past the hour in L?beck and :08 past the hour in Hamburg.

So the total journey time will be just over 3 hours. The regular fare on this trip is ??72,- for info.

Hope you get there in the end, have a good stay in good old Germany!