Pete, 
The shutter speeds on your camera will be fine.  1/30 is just a bit slower than 1/32, 1/40 a bit faster.  Really, it depends on the lighting.  If it seems like the images are a bit 
too bright when using 1/30, switch up to 1/40. 
What I love about digital is that you can expirament to your heart's content without worrying about how much it'll cost you to develop the film.  
If you want to see the results yourself, try this out:
-Start with a blank memory card
-Grab a paper and a pencil
-set up your camera and the subject of your picture
-take a sequence of 3 or 4 pictures, changing only one setting per picture.  For example, take a picture at 1/30, next one at 1/40, then 1/50 and so on...
...making sure to 
write down what settings you used for each picture, so you can duplicate your results.  
-after you're familiar with shutter speed, start tinkering with the other settings on the camera in the same way.  I've found it's the easiest way to actually see what all the settings do.  
It'll take some practice, but when you know what button does what, it'll be a heckuva lot easier to take some decent pictures.