the stock you have is just fine, if you bring it to the boil each day for a few mins you don`t even have to keep it in the Fridge!
although you risk "Cooking all the love out of it".
when I was a single guy, all I had was a camping stove and single but Very large pot with lid.
I could start a soup on monday and eat some, on tuesday I would add maybe some meat and cook that and eat from it, wednesday I may add a few onions and potatoes to it, cook and eat from it....
I`ve kept a pot going for WEEKS like this, I`m still here sucking air :)
personaly, unless you have plans for the week of using this stock, I`de bring it to a boil for 5-10 mins, let it cool and freeze it in bags or containers (by the way, putting a Hot pan into a fridge is NOT a good idea! they frost up, the fridge works overtime, and you risk warming the things you wanted to keep cool).
So long and Thanks for all the Fish ;)