Is there a specific surah in the Holy Quran, that if one regularly recites it, Allah will bless them with Hajj along with their 9 and 11-year-old children?

There are no specific noble surahs to be recited for facilitating Hajj. Hajj is only obligatory for those who are able to perform it, as Allah Almighty says: "And [due] to Allah from the people is a pilgrimage to the House - for whoever is able to find thereto a way." It is recommended to supplicate to Allah Almighty frequently for the facilitation of Hajj, as Allah Almighty says: "And your Lord says, 'Call upon Me; I will respond to you,'" and His saying: "And when My servants ask you, [O Muhammad], concerning Me - indeed I am near. I respond to the invocation of the supplicant when he calls upon Me."