Sony's newest travel zoom camera is the HX50V. It has even more zoom, and more features (that the casual shooter might not ever want or use, such as an optional viewfinder that cost as much as the camera itself! But since it is new, the HX50V is quite a bit more than your budget.
The HX20V is hardly old; it has only been out since May of last year. Image quality is heavily dependent on sensor size and lens construction, so the HX20V should perform almost identically to the newer camera. So you can save yourself a lot of money by going with the "old" instead of the new.
I know a few people that have a Sony Cybershot DSC HX20V and LOVE it. They take amazing pictures & videos, so I REALLY want that camera. However, I've heard that it's an older model & has been discontinued. Does anyone know if there's a newer, updated model of that camera? I don't want to go above $300, & I don't want a big, bulky camera either. Any help would be much appreciated!