Wondering what everyone does after they pump ...

I’m currently using the “pitcher method” (in medela storage bottles) bc of suspected oversupply issues. Gassy baby with green specs in his poops.

However I was wondering what everyone does as far as storing after pumping?

I know some people will just have a bottle of freshly expressed breast milk ready that they leave at room temperature. I’m tempted to go this route bc my baby gets very cranky when he has to wait for his bottle to warm ...

Tips/ suggestions??