BHU will be a better option for pursuing a BA degree. It offers excellent academics and learning resources. The university has a good research culture. Compared to Allahabad University, it has a better faculty. It also has a better brand name.
You can choose Allahabad University if you want to go for Civil Services. The environment on the university campus is convenient for Civil Service preparation.
Allahabad University, also known as "Oxford of the East”, has consistently held a good place among the colleges of India. It is the 4th most established college of India after Calcutta, Bombay, and Madras University.
Allahabad University (AU) alumni include a number of government officials, researchers, artists, journalists. You can discover an eminent graduated class of UoA everywhere in many fields. Numerous artists (Firaaq Gorakhpuri, Harivansh Rai Bachchan, and so forth), journalists, educationists, researchers have been a part of UoA. Almost every student at Allahabad University aspires to be an IAS officer.
BHU, on the other hand, has a great reputation. It has a huge campus with IIT and Medical departments. The faculty members at BHU are extremely friendly and supportive.
You can go for BHU if you want a promising career in the scholarly field. Or choose Allahabad University if you want to be a government official, government employee, social worker, and so forth
Both universities are great in their own ways, having various specialties in different fields. It relies just upon you that whatever you will seek after for sure you want to be in future.