To do, to see, to eat in Düsseldorf & surroundings

Hello Düsseldorf travellers %26amp; experts,

We%26#39;ll be in D for the first time from Friday 23/10 till Monday 26/10. We plan to visit the old town %26amp; art museums so far. Does anyone recommend the Botanical Garden and Film Museum?

We also plan a trip to Schloss Benrath (better by tram or train?) Is it worth? Any other castles near-by?

However, it looks like there isn%26#39;t that much to do/see in D for 4 days. Any recommandations for a day trip? We won%26#39;t have a car, so we%26#39;ll rely on public transport.

We are interested in strolling around in nice little towns, or being in the nature (parks, lakes, etc), discovering new places full of history or just simply charming, with a local touch.

Any traditional dishes one recommends? Local beer? Best place to eat in D with home-made traditional food and not expensive? (only interested in German cuisine)

And a last question: would Bonn be a good idea for a day trip?

Many thanks in advance to all of you who are willing to help.

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Lots to do:

http://wikitravel.org/en/Dusseldorf

duesseldorf.de/eng/…index.shtml

(slow web, but good)

travelgrove.com/travel-guides/…

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Thank you very much!