"ぬくもり" is often used as a heat from person. It is accompanied by gentleness. 「ぬくもり」とは、人からの熱に使われることが多いです。 やさしさが伴います。 「肌の―」「贈り主の―が伝わるプレゼント」 私のエイゴ、わかるかしらん？？

温もり is a noun. 温かい is an adjective.

ぬくもり is a noun referring to the emotional warmth, like 家族のぬくもり, which means the warmth of the family. But it also refers to the bodily warmth, like 肌のぬくもり, in which case you refer to the warmth of the skin but it implies that you feel the emotional warmth as well from the warmth of the skin. 温かい is an adjective reffering to the warmth in temperature, like 私の手は温かい, which means my hands are warm. And it can also be used to refer to the emotional warmth like あたたかい心, which means warm heart (ぬくもりは漢字では温もりと書くそうです) 間違っているかもしれません :S Hope this helps, ganbatte kudasai :) 失礼しました。