Mimi, you don't need to buy anything new if you have a spare little radio, just put it onto a blank station. White noise machines can be expensive and are a bit of a gimmick.
Our routine was at the beginning, dinner, chill out time, bath time, into pjs, into sleeping bag, top up feed until she was almost asleep and into bed.
Naps were the same minus the bath.
I also highly recommend a comforter with your smell on it, it can really calm bub when you aren't there.