Fed Financial - Any advantage or disadvantage to having bank accounts with the same bank as your student loan lender?

Any advantage or disadvantage to having bank accounts with the same bank as your student loan lender?

My student loan lender will be Citibank starting in August... Bad idea to get a checking and/or savings with them also?

Yes, you establish a relationship which will stand you in good stead in the future. Loyalty invites loyalty.
Each bank is different, but some will offer incentives for having multiple accounts with them. I know some banks will shave 0.25% or something off your student loan interest rate by having automatic payments coming from a checking account with them. Generally speaking the only benefit is convenience, but check with citi and see if there are any added incentives for doing this.