Greggs – The Parade, Swindon – Opening Hours & Store Details Greggs, which occupies a convenient space in The Parade Shopping Centre, is situated at 19 The Parade SC, a 0.50 mile distance north-west from the centre of Swindon (a few minutes walk from Fleming Way – C Bus Stop). This store principally provides service to people from the locales of Lawns, New Town, Rodbourne, Walcot East, Walcot West, Kingshill, East Wichel and Swindon Town Centre. It is open today (Friday) from 6:00 am – 8:30 pm. Here you will find some essential information about Greggs The Parade, Swindon, including the opening hours, address and contact info.