I would choose for the bitcoin wallet because its much safer in my opinion, also the fact the banks just looking afterwards you.
The bank are also very slow compared with the bitcoin so that is also a reason why the bitcoin wallet is much better.
Yes, I think bitcoin wallets are safer and the best thing is you have your own bank in the form of digital wallet, and which is accessible to you anytime you want, and you can receive/send funds 24/7.