For international travel, I have TUMI Voyageur carry-on 4-wheeler and the under seat bag that slides over the handles. I didn't pay full price -- purchased on sale at the store. I wouldn't ever check this bag because it's soft-sided. It's very lightweight, which is important to me for lifting and carrying up stairs (the apartment that I rent in Paris has 65 narrow, spiral steps).
If I think there's a chance that an airline in Europe may insist on checking a wheeled carry-on, then I take my Samsonite 4-wheeler because it's a much heavier bag (and the reason I don't like to hoist it up into the overhead). Once after being checked instead of in the cabin, I noticed that a piece of plastic reinforcement on a corner cracked. It must have taken a real beating for that to have happened because it's sturdy!
Before paying full retail price, watch sites such as
Nordstrom Rack for deeply discounted prices on previous season's models. They sometimes have TravelPro, a brand that I see often gets recommended.