How big is equipment for canning, and how many cans do you need to make to be "worth your time" in a sitting?

-For example, is it worth the time/effort to can 1 chicken (which to me is 2-4 meals), when you have to cook it first?
-Or should I have made as many as my oven could fit?
-How long would it take to can said chicken after cooking (for an average user)?

The big detractors for me are space and time. I have an infant and my wife and I both work - out the door at 0630, home around 5-6pm. kid in bed around 7:30pm, so obviously food/bath/bed takes most of that time. Bed by 10pm (and usually dinner around 8). Doesn't leave much time, other than weekends, to do stuff. And of course that's taken up with "life." Grocery store, Home Depot, etc.

if this is something like an hour or 2 a month, great. If it's more of a few hours weekly, the heck with it.