Go Ape and the fair up at Coombe. As well as the usual playground, Heron watching etc.
Check out what shows are on in the Assembly Gardens in town and also they have a massive screen for the Commonwealth Games and loads of sports for kids to try out like basketball, table tennis etc.
There’s also this right next door to the Telegraph hotel which I saw when I went for a drink then the other day:
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Failing that and you want to knacker them out drive out to Bradgate Park which is about 40 mins away toward Leicester which is a cracking country park with loads of deer roaming, rivers with ducks etc and loads of old building to explore and a war memorial on top of a massive hill! There is somewhere to get coffee, food as well but obviously take a picnic if it’s a nice day!