I recommend the Burley Stores Tea rooms as ideal for families. The staff are friendly, the tables clean and they have chilled drinks to take away on a hot day...very welcome after a bike ride from the cycle hire shop a couple of doors along.
Top Tip! The Queens Head carpark behind these tearooms, accessed by the side path, has a lovely Farmers market selling local produce THE FIRST SUNDAY OF EACH MONTH, 10am to 3pm. This makes a lovely day out, especially on a sunny autumn day.