I have shopped on and off at IKEA since they came to the US. I've been to three different IKEAS, and each of them many times, here in the US (Illinois, Maryland, and Pennsylvania), and fortunately none of my experiences are similar to Sleepy's. (Except for the crowds - weekends are extremely crowded, and I'm sure when one first opens that is even more true.)
You will find different levels of quality. As an example, some wood furniture is made entirely of wood, others a mix of wood and particle board, some pretty much all particle board. I've bought things at all levels and while the particle board pieces don't last forever, they are pretty good for that kind of construction. I think the prices are fairly reasonale, too.
All furniture is made so that you carry it home in flat boxes and assemble it yourself. The boxes can be quite large, however, so a minivan, SUV, or truck may be needed. I believe they may offer an assembly service, but nobody I know ever needed it. The directions are very clear and don't require anything beyond the tools they supply or basic tools anyone would have at home already.
I've always been pretty happy with anything I've bought there. Since I started shopping there as a college student, the all-particle board stuff was more in my price range. Now that I'm older, my tastes and (obviously!) my income have changed and I don't shop there for major pieces of furniture. However, I do plan to head there soon for bookshelves and such for the finished basement. I also have bought some of the all-plastic kids furniture for the playroom, and those are almost indestructable.
Styles there are, as others have said, on the contemporary side, although I have seen many pieces that would work very nicely in more traditional or even country settings.
And, again like pointed out above, there is way more there than just furniture. The store is laid out in sections (living room, dining, bedroom, office, children's, etc.) and each section will have accessories for that area. I also LOVE shopping in the "Marketplace" - it's where you can find all kinds of decorative accents, lamps, rugs, kitchenware and gadgets (I love their cutting boards), organizing stuff, office stuff, just about everything.
Definitely go when they open just to see whether you like it or not. If nothing else it's really fun to walk around and grab lunch (try the meatballs!).