How do you store and defrost pumped milk?

F
Hi ladies, ftm here and my baby is lazy with latching and sucking (why bother when it's easier from a bottle, right? 🙄😂) but I really want her to get my milk over formula. At the moment my milk supply is still coming in (baby is five days old) and I'm only expressing as much as I can right before her feeds every 2-3 hours and supplementing a small amount of formula if she's still hungry after. But I'm hoping my milk supply will increase and I'll be able to pump enough for full feeds soon and also store some for back up. Does all of this sound like a good method? Do you have any tips in increasing my milk supply?
Also, how do you store breastmilk? How long does it last in the fridge or freezer? And if stored in the fridge, is it okay to feed to a newborn cold or should I let it sit out for a while til it warms to room temp? And how do you defrost frozen milk?
Sorry for bombarding with questions lol but any answers and help would be much appreciated. Thanks!! (: