You can take the train from Milano Centrale to Varenna (the station is actually called Varenna-Esino), which is at the most scenic part of the lake, the journey takes around an hour and costs 6.45 euro each way. it's about a ten minute downhill walk to the lake front. It is a regional train and you can't buy tickets in advance.
Varenna itself is beautiful but, if you wished, you could take a ferry across to Bellagio which is bigger with more shops and restaurants. However, I don't know whether or not they will all be open in April - the scenery will still be gorgeous, anyway.The ferry ride takes roughly 10-15 minutes.
Hope this helps.
thanks for your help
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