Yeah, it's probably the swaybars. It's a common thing on newer cars (stiffer rubber combined with heavier, safer cars and thicker swaybars). Shocks usually don't sqeak, they clunk or scrape.
If you want to make it go away, lube the swaybar pivot bushings on the front and rear swaybars. My 08' mazdaspeed 3 does this every year when it gets very cold out. The past few years I was using silicone spray lube, and it works for about a month or two (just enough to last me through the winter). It's fairly easy to spray the rear busihngs with the car on the ground, but the front ones are a bit hidden. You'll have to jack it up to spray those two. You can always ask your mechanic to do this next time you get your oil changed if you aren't the type to work on your own car. Since the car will be on the lift already it should cost nothing, or close to it.
For a more permanent fix, pull the swaybar bushings out and lube them with Energy Suspension bushing pre-lube. It's a clear, tenacious (only word to describe it), suspension grease that's waterproof, and will stay on there for years. It will also make your car ride smoother, since that noise you were hearing was the bushings sticking and creaking instead of smoothly pivoting.
I'm not quite sure why the manufacturers don't put something similar on at the factory, or use urethane bushings with grease fittings.