Travel trailer fresh water fill question

I just got a new to me 2009 Puma 29FQS and after reading this thread I went out and checked the fresh water aka potable water tank empty. Made sure the drain was shut and then commenced to fill it with the hose and a spray nozzle on straight stream. It is a 51 gal. tank so after I got it 1/3 full by my level indicator I added 3/4 cp of clorox bleach mixed in a gallon of water. I then filled the tank till it overflowed out the fill line. I then turned the pump on and and opened each valve until all the bubbles were out of the lines. Kitchen sink, bathroom sink, inside shower, toilet flush. I forgot the outside shower. I will do that after this post. I then refilled the tank till it overflowed and will let it set 3-4 hrs. Then I will drain and refill and flush everything, drain again and refill and that should do it.

Questions and comments are always welcome on my projects.