"but the inconvenience of having to squeeze a bag to get water doesn't sound too appealing"
As was mentioned, you really don't have to squeeze to get water, and either way, its far more convenient than waiting for your chemicals to work before you can drink.
I have both the Sawyer Inline and the Sawyer Squeeze.The inline is the most convenient if you use it with a hydration pack as described by an earlier post in the thread. The Squeeze is convenient in that you can use ordinary plastic water bottles if you like, or Platypus, Sawyer bags, etc. It is overall a tad lighter as well.
I also have a SteriPen. While I'm not a fan of using battery powered equipment for this purpose, it remains my favorite in places like the Sierras where the water is some of the best tasting in the world, and the SteriPen is the only option (other than not treating) that doesn't affect the taste. The Sawyer filters shouldn't affect the taste, but they do although not nearly as much as chemical treatment.