I use Grady's pitcher packs, and I use half the recommended number of packs per pitcher, so it's less concentrated than normal. I also found they do decaf pitcher packs, so that I can avoid all that caffeine.
I also mix this about 50/50 with milk alternative, currently that would be Ripple brand.
Personally, I would never do cold brew in a French press. Any container will do, so long as you use the appropriate amount of coffee, and it is appropriately filtered (they make special filters for this). But I don't like using glass containers for this stuff -- to easy to drop and make a right royal mess of broken glass and coffee grounds and such splattered all over the place. So, I use non-breakable containers instead.