Which is the best way to transfer the right in property

I have a residential house jointly in my mother's name (1st name) + my name (adult male). Mother is a house wife. The property was fully funded by myself.Now I want my mother to transfer her rights in this property to myself as I intend to sell this house and use the benefit of LTCG for the purpose of buying a new house this time in self + wife's name.Should my mother use a gift deed or a relinquishment deed to transfer her rights to me. Since my mother did not contribute in buying the property can she gift it to me? Just want to be on the right side of the Law while doing this. Please guide.