Today's digital cameras offer so much in the way of features and different price points... it's hard to choose.
You can get some great Point & Shoot cameras for under $300. I've had some really good results with my Sony Cybershot DSC HX9V (discontinued) that I got as an "open box discount" for $180 which was about $150 less than reg. price. It has 16.2 Mega Pixels and a 16X optical lense, shoots 1080/60p video too. I started taking this on trips and it works great! There are newer models to this camera and I would recommend you go to Best Buy and do your own hands-on demo and compare the different cameras. Some can be complicated to use, the Sony had a slight learning curve but I'm pleased with how it operates. It has all sorts of settings...some are semi-manual but I have to say that 80% of the time, I use one of the auto settings... has a great in-camera demo to help you learn. There's an "EASY" setting and it can be as simple as that.
There are some settings that really get great pictures in low-light without a flash... it takes the pic and then a status-bar goes across the back screen viewfinder "processing" the image. And then you can see the pic. I'm amazed at how good the low-light pics look... really amazing what this camera can do.
Good Luck