I'm going to request one more time, can we please keep the discussion to the actual mechanical details of tuning a bass up a semitone? While I respect the fact that everyone has their own opinions on the merits of different tuning formats and transposition, that is not really the information that I am looking for. In point of fact, our rep list contains songs in at least 15 or 16 different keys. I as a bass player and we as a band are quite capable of playing in any key we want. So one last time, let's leave the key signatures out of this m'kay?
Good point, patiently made.
You'll likely need some relatively minor adjustments: truss rod and intonation. Easy and reversible... go for it. If you find you don't like the slightly higher tension then you can experiment changing string gauges a bit, but it will not be a do-or-die type of situation.
Back in the day when I just played with myself (quiet at the back!) I'd tune guitar and bass to each other, by ear. I'd only tune properly if I was trying to play along to a recording, and in fact many recordings seemed not to be in standard A=440Hz tuning, so I would often be tuning a bit higher ot=r a bit lower than standard. Pretty sure I'd have tuned up by a semitone more than once. I didn't tend to adjust anything but truss rod, sometimes... so while I cannot say categorically that you'll find this much change here and there, my experience suggests it should be doable without trouble.