Panyui is just a district of Guangzhou, so you could reach there by shuttle bus from Guangzhou Airport directly. Then, at the Guangzhou Provincial Bus Station, you could take a coach to arrive in Shunde in one hour. Later, at Shunde Daliang Bus Station, you could take a coach to reach Kaiping in 3 hours. Finally, take a bus from Kaiping back to Panyu directly. Just for your reference.