Welcome to the forum.
To me, practically all the point & shoot cameras are the same...if you have seen one, you have seen them all.
That's not really true, some are better than others and some are better at certain things than other cameras.
If I were to buy one (or recommend one) I would stick with a good 'camera brand name' like Canon or Nikon etc.
There are a few features that you might want to consider. Do you want a lot of zoom? You can get a camera with a lot of zoom...but that makes the camera bigger and harder to put in your pocket. If you can get one with IS (image stabilization) that is a nice benefit...especially on one with a lot of zoom.
If eventually want to take a class or at least learn about photography...I would recommend a camera that has basic control modes rather than just auto. The 4 basic modes (on a Canon) are: P (auto), Av (aperture priority), Tv (shutter priority) and M (manual). These modes should allow you enough control to get a good idea of basic photography.
You may eventually find that a $300 camera is limiting and you will want to upgrade. If you are OK with having to upgrade later, then go for it. If you would like to save money in the long run, then it might be better to increase your budget to say $600 and get a camera that is 10 times as good.