Steve, good start to the thread. I'll try and list a few pointers to help you make sure you have photos to last a lifetime with these little ones of yours
I've found that when photographing kids, try your hardest to fill the entire frame if it's going to be a head shot.
I usually try and focus on their eyes, lock my focus in by holding the shutter button half way down and move the camera frame so they're not 100% centered, then take the photo. It just makes the photo look better for some reason.
With Portraits, the rule of thirds really works well but again, rules are made to be broken so dont be afriad to think out of the box sometimes.
I hate using flash so I always try and get my portraits on overcast days, or make sure I sit the kids in the shade of a tree or something that has good, even light, but nothing direct.
Shallow depth of field (Low f/stop like a f/2.8 or f/3.5) will really make the subject jump out of the frame, but not so shallow that once you get past the bridge of their nose the eyes go out of focus. This is something you'll just have to play with and shoot a few shots to get it right (Thank God for the LCD on the back of the camera)
When shooting kids, which for you Steve is probably going to be the main subject of your photography for the next 18 years, there is no bad time to be shooting.
Take photos when they're crying, when they're laughing and everything in between. These are the candid photos that will last generations. Everyone has the posed shots, but the ones that we all remember are the candid ones that really show the scene.
I was shooting a graduation at a Pre-School where the kids were getting ready to move up to kindergarden and this little girl just sat at her desk crying because she didnt want to leave. The parents ended up buying a large print of it and the pre-school bought one to hang on their wall. Everyone else was watching the kids that were graduating, but this was the best shot of the day in my eyes
Again, just keep your eye out for the shots that arent posed. While at the EXPO in Arizona, everyone was watching Roseanne give her introduction speech while I sat watching this little guy play with Dave's dog from Aluminess Products. I love the shot because they look like they're old friends even though they just met seconds before this shot was snapped
These are all just random shots, but we can post specific shots and talk about the lighting conditions used to achieve the shot too as the thread grows in content.