Haakaa storage

Hey ladies, I recently bought a haakaa and im loving it so far, especially since my girl only eats one side per feed. I catch about 1 oz every time she nurses. My question is how do you go about storing the milk after each time you catch it? Like is it safe to just pour the freshly caught milk into the already refrigerated milk from the previous feed ? that doesn’t seem safe. Do you pour it in a fresh container every time, refrigerate, and then pour it into one bottle at the end of the day? I don’t know why this is so confusing to me lol.