Hey, I don't know if you've left yet, but I think that you can carry a knife, albeit a small one.
First let me say that I'm not a lawyer. Second, I don't even have the tiniest bit of education in Bermuda's legal system. Third, I
am an American law student, and while what I'm offering here should not be construed as legal advice, I'm not entirely ignorant either.
Okay, if you take a look at Bermuda Statutory Instrument BR 3/1981, Criminal Code (Prohibited Weapons) Order of 1980, you'll see a fairly common prohibition on flick knives and automatics. It also prohibits sword canes and "constant companions," but those are the only knife laws mentioned there.
However, annual laws represent later changes in legislation. The most recent that I could find was the Criminal Code Amendment (No. 2) Act of 2005, amending section 315 of what appears to be the foundational Criminal Code Act of 1907. This 2005 Act of Parliament addresses bladed or sharply pointed instruments, but has an exception at 315(C)(2) for a folding pocketknife, that exception not including a folding pocket knife with a blade exceeding three inches (315(C)(3)).
So it sounds like a folding pocketknife with a blade three inches or less in length is okay (subject to any further restrictions laid out in the law). Some courts in the UK have interpreted the statutory phrase "folding knife" to mean a non-locking folder, so bear that in mind.
I suggest that you read the law yourself and make your own decision. I found this information at
this website.
Also, before I went to Bermuda last year, I seem to recall reading a published legal opinion in which a Bermuda legal official (a judge or magistrate) found a defendant who was charged with carrying a weapon not guilty because the knife (which was a small folder) did not meet the statutory definition of a weapon. I'm afraid I cannot find that opinion now, but you might with some effort.
Enjoy your trip, and drink a Dark 'n' Stormy for me!