Henry, the rule of thumb is to let the water 'turn over' once (turnover, a misleading term, is the time it takes to have the same number of gallons pass through the filter, as are in the pool). Many here pour the chems via the skimmer to get a quicker distibution into the water, I don't like doing this with acid nor bleach, I just don't like putting a 'plug' like that through the system, especially if a heater is involved.
What you might want to do is add the pH and alk chems in the morning when the filter first fires up and let them mix all day. However, you will want to add the bleach at night so that it can 'do it's thing' without interference from uv - you can add the cl at 7 by pouring it around the perimeter, adding a little more at the returns and cutting off the pump at 8 (thermodynamics and the fact that it takes something in motion quite a while to stop, should give you sufficient mixing)
However, it might be a good idea for you to tell us what kind and size of pool you have and what size pump and type and size filter.