Yes a suburb I would recommend is Lockleys. It has a long trail that runs from the city to the beach for both walking and cycling that is located on the Torrens Outlet River. There are spacious parks and it is literally only 2 suburbs away from Beverley and there is a bus that runs into the city along Henley Beach Road. Some of the prices of houses can be a bit high. There is a few houses in the area that are more upmarket then the other suburbs bit it is nicer than Underdale. However quite close to the airport.