OP
I have a lot of experience in this. Too tired to cover all. I haven't heard of cat/dog walking/jumping generated noise before, I should note.
I have also personally been subject to horrendous noise 24 hours which required 'consideration' and limiting human movements to day time. so, I am not sure how animal movement can be limited/restricted as they are animals.
can I just say: What exactly would YOU do, if you lived upstairs, with a baby that cried 12 hours a day as some babies Cry?
I guess you would say, we cannot compare a baby to pets and pets can be reduced in numbers.
Your only solution, seem to want pets to be fewer than 3. I just find this unreasonable as it sounds like you want to restrict neighbour in what they can or cannot have in their lives and in their homes. Also, will you really say if the pets are 2, then you will live peacefully? You just sound controlling.
Another request you suggest is to take dogs out to give you space. Again, on what basis?
You bought Carpet for them. Why? Are they pooR? And yet they or you still left ut the hallway where the pets run. Maybe you want to carpet the hall way too so you live blissfully?
Look, with noise, unless the person complaining is also showing understanding and an attitude of give and take, it just looks one sided and controlling.
Forexample, one of my bedrooms (in my Central London flat) is directly above entrance. At *;15 I hear scooters, prams and door self closing...same at 3pm when the little darlings finish school; and throughout the day. But pp are free to come and go 24/7 so I have said nothing. I feel lucky that by 8pm it is all quite again at the entrance until 7/730 or 8am. I sleep early too.