RE: "fighting" her sleep
For both of you, it sounds like you are waiting too long to put your babies to sleep. By the time they are fussy and yawning, rubbing eyes, etc., they are overtired and are going to have a difficult time falling asleep. I'd recommend starting your bedtime routine earlier. Also your babies are both still very young- much too young to do any sort of crying it out. Even CIO proponents don't recommend starting any sort of sleep training until at least 4-6 months old. Give it some time, sleep when your baby is sleeping, and enjoy them when they are awake. Try to get them down 1-2 hours after they wake. It may seem like they spend the whole day up, down, up, down, but that is the age they are at- they aren't going to sleep through the night consistently or fall asleep on their own all the time.
Enjoy this wonderful newborn phase!
M, mommy to A 2005, E 2007, and L 2010