1/500 is good for most non action photography and limited action. It depends on what you are seeking to accomplish. If you want to photograph a fast car you need to pan (follow the car in your viewfinder) as you photograph it. This will blur the background and keep the car fairly sharp, to show that the car is actually in motion. If the background is as sharp as the car it will look like the car is just parked on the track or street. Humming Birds are different. If you want to stop the wings in the photo you will need a lot higher speed then 1/500. If you actually want to photograph a Humming Bird this should work, buy a Vivitar 283 set it for distance shooting that will shorten the flash duration to between 1/20,000 to 1/40,000 if I remember correctly or get the varipower attachment for it and set it for a fairly low power setting. When set at low power the flash is very fast or brief as fast as 1/40,000 of a second. Set the camera and flash up very near where you expect to photograph the bird, you will need to have a camera only a couple of feet away since the flash intensity will be very week. Prefocus on the birder where you expect the bird to be and use a remote release and wait. You can also use most other auto flashes that have a vari power feature. I mentioned the Vivitar 283 because I have one that I have used for about 20 years some of those years though as a back up and it still works fine. If you look though some back issues of National Geographic you should find some excellent Humming Bird Photos and some times they mention how they took them.
I don’t know what your budget is for a camera but if you want a really good one, look at the Olympus E-10, it is 4 mega pixel and handles like a regular 35mm camera and actually has both the zoom and focusing rings on the lens. In my area It goes for $2,000 but is available mail order out of New York for about 1,625.00 plus shipping with a USA guarantee . I got it from Focus Camera and I am very happy with it. I also picked up a Epson Photo 780 printer locally and the prints are excellent, and I have not even used the special photo papers yet. It seems digital will take the place of most 35mm photography, unless you need the quality of Kodachrome II or Panatomic X for enlargements. It’s getting a little late so good luck and have fun with your new camera, and how about posting a pic of the first Humming bird you get.