I have owned a Bianchi Camaleonte Alfine geared bike for nearly four years now. So I thought that I would reflect on the benefits of a hub-geared bike.
I bought the bike under the C2W scheme with the aim of reducing maintenance. Well- I think that it has reduced the maintenance a little bit. In terms of day-to day maintanence generally all any of my bikes needs is a quick wipe and regular lube of the chain (and other bits). Less frequently the bike is cleaned and other bits changed.
I reckon that I go through chains as frequently as on the derailleur bikes. I usually have to change the rear cog as well. The cog is definetly cheaper than a cassette (even an 8 speed) but the chain is slightly more expensive than an 8 speed (I get a 9 speed chain). On top of that every few thousand miles the hub grears need an oil change. I have done one so far with another pending. Bicycle works will do this (can't remember how much for - about £20-£30). Gear cables last much longer since they can be almost entirely protected and they aren't under such much tension.
So the costs of maintenance maybe slightly lower but not much. The amount of cleaning (if you are being good to you bike) is perhaps slightly less since the chain is higher and you don't need to worry about the cogs (unless you've got a tensioner). Derailleur bikes need more frequent adjustment (this is fun!).
With my Bianchi I find that I clean it less because I love it less. It simply is not fun to ride in the way that my other bikes are. Now that I have a new(ish) best bike, I find myself using it less and less - the last time was in March. I do use it in poor weather when I wouldn't want to risk my more loved bikes.
So in summary, I think that my bike would be great for short distance pottering in a city, but for fun commuting from outwith the city - nope.