BA LLB integrated or BA then LLB both the courses don't effect any way your professional life. So you can choose any of it. The advantage of BA LLB is that you complete the course by saving 1 years of time. Apart from that there is not much of a difference between BA LLB and BA then LLB. So you can choose as per your choice. If you go for BA LLB separate courses then you will have to prepare for the LLB course during your BA final years. Apart from this if after BA you want to do something else than LLB, then you have the option, but in BA LLB integrated course, you don't get this option.

So in a way, both have there own advantage and disadvantage.

For more information regarding BA LLB consider the link below:

https://www.careers360.com/courses/ba-llb-dual-degree

I hope this helps. Wish you a great eve!