OP I also had a child who fed all the time every two to three hours at night at first. I made up bottles in advance, which is safe if done correctly and good food hygiene practices applied such as not touching the teats, washing your hands after touching the powder and throwing away any unused after 1.5 hrs if heated (guidance says 2 hrs - I err on side of caution), or a maximum of 18 hrs (guidance says 24) if left in the fridge. Also never reheat a bottle that has already been reheated.
All DS bottle stuff e.g. steriliser, kettle etc were kept on one side of the kitchen just for his stuff.
I made bottles with boiled water that had been left to cool for no more than 15 minutes, so if I were to pour it on myself it would be still very hot and burn. It must be hot to kill germs in the powder as the powder is not sterile. I poured water in first, so that you get the measurement right and then the powder, so that as it goes down through the water the germs are killed off. I would then shake the bottles and cool them as quick as possible in a large pan(s) of cold water, so that the water level reached the top of the milk level. I would change the cold water as soon as it warmed up, to speed up the cooling of the milk. On warm days this could be three times. The bottles were usually cooled within 20 minutes and completely cold to the touch. They would then go in the fridge, bottom shelf, on the left hand side, separated from any other foodstuffs in there. Never put warm bottles or anything warm in a fridge.
As I began to learn DS feeding schedule needs, I could interpret the signs and warm a bottle in the bottle warmer within 8-10 minutes, direct from the fridge.
OP - we used this to transport cooled milk and stuck an ice pack in it: www.mothercare.com/Philips-Avent-Neoprene-ThermaBag/769037,default,pd.html (it came with the bottle set). We still use it now for his yoghurts etc. To be honest I didn't go anywhere when he would need a feed that didn't have a means to refrigerate his bottle (boring life he led until about 4 months old - so limited to Nanas, Grandmas etc).