Will I have problems maintaining a bike from the UK in the US? I'm moving to the US from the UK and am considering taking my fairly average hybrid road bike with me. It's nothing special but I quite like it and the cost of taking it on a plane doesn't seem to be too much. However, I'm concerned I won't be able to buy new parts etc.

Are sizes for things like brake pads, chains, gear sets, etc. common between the two countries?

Edit: Sounds like this will be fine. As suggested though, I'll add it's a lower-end Specialized Sirrus.
If it's from one of the big brands (Trek, Specialized, Giant etc.) then you should be fine. Only difference between one bought in the UK and one in the US would be brakes mounted opposite way round (i.e. front brake operated by left lever rather than the right), and maybe paintjob!