Chickens are super quick and easy to take care of. The only thing that takes a lot of time is injuries, but that's a rarity. I have always used the
deep litter method. I only have to clean out the litter once or maybe twice a year, depending on if it gets wet. I use
Stall Dry in the litter, especially around the door way, waterers, pop door, and under the roosts, where the most water will get tracked in. I only add this once a month or so, in small quantities. Every few days I throw around cracked corn or scratch grains, which encourages the hens to scratch around and mix up the litter themselves. As long as I don't leave the door open during rain storms, I rarely have trouble with moisture.
For feeding, I keep a hopper on the chicken house wall that holds 50# of feed, and for 8 chickens I only have to refill it about every 3 weeks. It is very quick to fill a bucket and dump it into the feeder. I have a second hopper for the scratch grains. In the winter I use a gallon heated dog bowl and carry a milk jug of water out to the hen house with me, so that I don't have to make more than one trip.
As far as spending time with them goes, if you sit with them for a few minutes and feed them chickweed or treats, that should be enough time for you to notice if anything is wrong with one of the girls. You'll want to spend more time with them though.
Raising the chicks is a lot more labor intensive, since you have to change the paper towels, but you can still get it done in less than 15 minutes a day.