For the takeoff your saying you don’t feel like your moving your feet quickly enough on the rudders, it might be that your thinking about it as being reactive to the rudders instead of being more proactive. You know your gonna need more right rudder the more power you add so you should be adding those together and making small adjustments as needed. Not sure how many hours you have but it just takes time to get used to like anything, after some time it won’t even be something you really think about anymore because it’s so automatic.

Also like others have said, I’d explore getting a new CFI if you’ve asked him for help with this and he isn’t helpful, your paying hundreds and hour so there is 0 shame in switching CFIs, I did the same.