What is the amount of time required for all the different chicken activities? (estimated weekly average)
Once you have it set up, I'd say no more than about 2 hours per week. The feeding and watering can be automated, so it's really just whatever cleaning or optional shuffling of their locations you do. Checking for eggs can be done in a few minutes, and you technically don't have to do it every single day. You might actually choose to spend more than the minimum to tame them and treat them as pets.
Yeah, the daily tasks are pretty small. Just a few minutes a day. Scoop some food, change out the water, gather the eggs.
Every so often, you need to do bigger chores, like go buy fees or fix something in your setup. A couple times a year you need to do a deep clean of the coop (throw out all the straw, scrape any poo that's collected on the floor or wherever, put in clean straw). Sometimes a chicken dies, and that's not fun, but it is something you have dispose of properly.
Ultimately, though, it's a hobby. It should be fun or relaxing most of the time or else it's not worth it. Like gardening or running a home server. If you're trying to just save money, maybe you can save a tiny bit in this particular moment, but there are surely better ways to save a few bucks.