"while walking around the deep end" -- the trick is NOT to do this. Instead, go to a return, kneel down in a comfortable and stable position, open the cap, reach the bottle down into the water, and tip it to slowly pour. The chlorine (or acid) shouldn't need to pour more than a few inches. You do have to slow down in any case; it should take a minute or so to pour a gallon in a nice smooth stream right into the return's flow.
Walking around IMO gives too many opportunities to trip, slip, or splash because you are pouring from too high up. The stream from the return will distribute it far better than you ever could walking around anyway.