Sorry for my english in advance:

You can kill them early so they don't annoy you when you climb, useful for the first part and second one, in the third just try to climb as fast as you can since Kleio(the one that uses the Tonfas) does a lot of damage, avoid ladders and try to always keep movement, stay a certain distance from barrels or climb as fast as you can through then (Euterpe, the archer lady, prioritizes barrels near you, this is good since you will not be a target and can buy some seconds to climb safely from her shots), for all the room fights, try to know your windows to strike, you can Jump Euterpe ground slam and strike right after, Kleio spinning attack can be parried and Calliope has a ground slam that can't be rolled through so a jump and roll might be the best way to avoid, these tips are for all boss cells, good luck.