Go ahead and keep the cl high while it is cloudy and keep the pump running. Once it is totally clear with little chlorine loss overnight, you'll be good to go. I typically run my pump about 8 hours per day. Some people break it up into a couple of sessions a few hours long, but I typically turn my pump on around noon when the sun gets strong and off around 8 or so in the evening. However that is not a set in stone rule. Sometimes I turn it on earlier especially if I want to vacuum in the morning or something. But on a typical day, about 8 hours for my pool.

EDIT to add --- when you are no longer fighting algae, the best time to test and add bleach is in the evenings. So, you want to leave your pump running for at least an hour or so after adding bleach to give it a chance to mix well.