I would never have carpet on the floor, hate it deeply so would keep wooden floors wherever I go.
In that case sorry but you need a ground floor flat, or one which is purpose built or you will make your downstairs neighbours’ lives a living hell. In a conversion like this every last sound will be amplified and they will hear every single step, wee, alarm, phone call and conversation let alone sex, washing machines and DIY.
It might help if you are able to say how old your DC is and what your priorities are. For most people with younger kids having a bit more space (especially living space), places to store family essentials, a place to wash and dry clothes and easily accessible outside space that the DC can play in make life much easier but it sounds as though that’s not the case with your family, so what are you really looking for?