There are many nice parks near Glasgow, two of my favourites are Rouken Glen Park and Calderglen Country Park.
Rouken Glen Park
Rouken Glen Park, my local park, is 6 miles from the centre of Glasgow. There are good walks through the glen and it is a great place to take the children who love the play area. For the gardening enthusiast there's a well-stocked garden centre, and restaurants at each end of the park.
Calderglen Country Park
Calderglen is in East Kilbride, approximately 9 miles from Glasgow. There are lovely walks here, it's a great place for children too, with really good play areas, an indoor conservatory with fish and small animals, plus an outdoor zoo. There is also a good cafe.
New Lanark World Heritage Site
New Lanark World Heritage Site is a good choice for a day out. New Lanark is an 18th century restored cotton mill village just an hour away from Glasgow. Robert Owen was the manager from 1800 - 1825 and changed life for the villagers and their children. He provided education for the children and a better way of life for the workers. The award winning Visitor Centre is well worth a visit. There are also good walks to the Falls of Clyde from the visitor centre.
Culzean Castle Country Park
One of my favourite destinations for a day trip is Culzean Castle Country Park.
Culzean Castle is about 50 miles from Glasgow, in Ayrshire (10 miles south of Ayr), and is one of the most visited attractions in Scotland. This beautiful country park is a great place for a family day out. As well as an excellent playground to keep the children happy - or they can dig on one of the beaches - there are numerous country walks and cliff top walks. There are beautiful views from the cliff paths across to Arran, Mull of Kintyre, Campbeltown and Ailsa Craig; even Ireland is visible on a clear day.
There are lovely gardens, the walled garden is filled with a blaze of colours in summer. In the Courtyard there is an interesting Visitor Centre where you can find out about of the history of the Park, a restaurant and gift shops. Every spring time you can see the newly born cygnets on the Swan Pond. You might even see seals near the rocks below the cliffs.
Robert Adam built the castle between 1772 - 1790. In 1945 part of the castle was given to General Eisenhower for his lifetime and there is an interesting exhibition about his achievements.