Online banks in 2026 aren't risky novelties anymore - millions of people use them every day, so that fear of not having a physical branch is more psychological than real. As others have already mentioned, Wise for transfers to Germany is really unbeatable on fees, but there's a practical side that matters: when you have problems or doubts, with an online bank you sort everything out via app or chat, often faster than waiting in line. The only place where a physical branch actually matters is if you need to deposit cash regularly - if you don't, you won't miss it.
What I'd do in your shoes is not make a complete switch. Open a Wise or N26 account for international transfers and to save on fees, but keep Intesa for now until you're sure. Once you see how it works, maybe after a couple of months, you can decide whether to actually close it. That way you risk nothing and you'll figure out how you get on without the anxiety of a permanent change.