the jugs are not likely to lose much weekly, when kept cool/dark/sealed (cap tightened)
You're pool doesn't know the difference between LC and bleach once it is in the pool- don't mix chemicals direct (this isn't a problem with bleach/LC, but good practice!) but add to pool will be fine without reactions...
I bypass the weekly recycle- got a small trailer that the bottles go in, carry to center at end of summer- 1 trip! Of course, I got the space to do that...