International transit

I'm flying
Air China from UK -> Beijing
Air China from Beijing -> Hongkong
South China Air from Hongkong -> Wuhan

For my travel documents, I hold a chinese passport and onward tickets to my final destination and my daughters hold UK passports with Chinese VISA's. It is my understanding from the Chinese embassy that we can enter Hongkong for up to 7 days without the need for any permit and I just wanted to confirm that the airport has no specific restrictions which would effect our travel plans?