Get an account with a reputable bank. In my bank I have a personal banker that I can contact (phone, email, message) in case I need anything (you will get this privilege after a certain amount of income per month, but it's easily reached if you work in IT). I was even able to get money back after I paid for something that I never received (simple debit card). And also many people forget that you may need a larger mor…
Unfortunately, banks in Greece aren't in good shape or very convenient. I also just didn't think this could ever happen.
You can probably find a reputable bank with a nearby branch. Even an online-only relationship with a reputable bank, regulated by a reputable national authority (e.g. the U.K., Switzerland or France), would be a good idea.