Just my personal experience, for what it may be worth.
My Dad worked for GE as a programmer, and then manger and consultant. I got my first taste of computers when he lugged home a teletype with a cradle modem the size of a large suitcase. He did work on the weekend sometimes. I got to play Trek. I was a kid, maybe 8, this was mid 70's. This was a lot of fun with my Dad.
One of my friends got a Vic20. That was fun, until he broke it. Later, I really wanted an Apple. Despite, or more likely because he was a computer professional, my Dad refused to have a computer in the home. He just didn't believe people needed them for anything. I was so frustrated at the time, but maybe he was right. There really wasn't all that compelling reason to have a computer at that time for most people.
The first computer I did get was a Mac SE, when I was in college. That machine did everything I needed it to. Perhaps the lack of arcade type games compared to the PC helped me get more work done too. Ironically, I gave that machine to my Dad when I got a new one. He used it to play chess and do a little word-processing until fairly recently.
Unfortunately, the Mac doesn't teach you much about computers themselves. The few stabs at Basic programming I'd done on that teletype were long ago and didn't fit with the closed Apple world. Programming a Mac was not accessible to most at that time.
Now, when I really feel the need/desire to manipulate computers more directly, I wonder what I missed out on. Not too much, I suspect. Perhaps I didn't internalize assembler, but there is more life and to computing.
I guess I would say you have to examine what you want your child to get out of computers. Togetherness with Dad? Well, just keep sharing your machine from time to time. Researching for school/personal knowledge? Any machine and a browser(in a few years). Really learning about computing? Computers model real problems from the world; gotta get away from the keyboard and out in the world first.
So, sometimes I wonder where I would be in the IT world, if I had geeked out a bit more, or had a machine a bit younger. OTOH, I might not have travelled the world, enjoyed as much music, or read as many books. I guess just be aware of the trade-offs; life is short, and childhood shorter.
"First, I am born. Then, the trouble begins." -- Schizopolis