If you're in Chester, Grosvenor park is a jewel in the crown. Manicured lawns and flower beds, some old ruins too. It's an oasis in the city. Very close to the river too. The little train is great for small kids, but a bit pricey for what it is. The squirrels are very friendly and will take nuts from the palm of your hand, much to the amusement of our 19 month old son. I also proposed to my wife here, by the statue a few years ago.
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