Yes, definitely get him chipped. It's only a little pinch and will not cause too much pain. Think of it like getting your ears pierced with a piercing needle.
I second the neutering. Get it done all at once and he'll be fine.
For Zeus, he gets groomed once every 6-8 weeks, depending on the weather. 8 weeks in the winter and 6 in the summer.
Congrats on your baby, btw! Know you've had him for a while, but he'll always be your baby