I just came back from traveling to London and France. I brought 3 lenses with me. The 10-24mm, 18-55mm and the 23mm. I used the two zoom lenses the most and hardy used the 23mm except when it was really dark or for evening shooting when there was less light. The 10-24mm was very useful inside museums and cathedrals. I'm not sure the 14mm would have been wide enough for some of the places we visited. The 18-55mm will probably be used most of the time. I didn't find the 10-24 lens to be too big when traveling and the weight just needs a bit of getting used. I'm sure by the 3rd or 4th day of your trip you will be used to the weight of the lens.
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Going to Europe - 14/2.8 vs 10-24/4?