In general most babies have normal skin. In my opinion all soaps (costliest to the cheapest) and oil (coconut oil to olive oil) are the same. Traditionally different products are used in different parts of India. Usually with the same result - a happy healthy baby.
It's the massage or the daily bathing that is more important.
I suggest that it is preferable for parents (mum and dad) to do the massage and give the bath rather than other individuals ( e.g. grandparents or maids).