Storing bank accounts in the DB

I'm working on a project which requires being able to store bank accounts (bank name, account name, account number and sort code) against users inside mysql.

Form my understanding although this is sensitive data, it poses no security risk compared to the likes of storing credit/debit cards.

Can someone confirm whether this is the case, what the best practices are and whether there are any outsider companies (Stripe for example) who would be able to handle this should they need to?