~snip~
So I would expect that it should not be *too* difficult to accomplish my goal, but I am anxious that UniCredit might make it difficult for me to send my funds over to a crypto exchange, as there are still some banks out there nowadays which generally make it difficult when sending money to crypto exchanges... I do not know where UniCredit bank stands in that regard. I am not quite comfortable walking into the bank and bluntly asking them, "So, do you mind if I start using my account here to buy large amounts of Bitcoin...?"
I assume that the money in that bank was acquired legally and that you as their client have the right to dispose of your money in the way you want, of course as long as that money is not used for any illegal purposes. Therefore, I don't see why you wouldn't ask for information about whether your bank has any prohibitions/restrictions when it comes to cryptocurrencies - and to find out you don't have to go to the bank in person, you can ask by phone or e-mail.
Given that you plan is to spend a large amount of money, it would certainly be better for your personal safety and later for the possible payment of taxes if you have all possible documents that prove that you bought Bitcoin with legal money, and from whom you bought it. When one day you decide to sell, it will be logical to use the same subjects, only in the opposite direction.
Even if your bank is not friendly to how you want to spend your money, you can always transfer your money to a bank that has a different business policy, and at least there is no shortage of banks, right?