nice park or playground in florence or lucca??

[stump]

Hi everyone,
We're off to Tuscany soon with our 4 year old and 20 months old. We're taking the night train and arrive in Florence very early (7am) but can't get into our villa near Lucca until 3pm. Can anyone recommend a nice playground/park in Florence or Lucca where the kids can let off some steam??
Thanks

Drive straight to Lucca which is much more fun to be in with very young children than Florence. But I wouldn't leave your car full of luggage in a public car park - go to a hotel for a freshen up/lunch.