Washing too frequently tends to lead to dry skin. Showering rather than bathing, and keeping the showers short, will reduce the leaching out of the "natural moisturising factor", a mix of compounds that helps to protect the skin’s outer layer. Overly hot water also has a drying effect, so warm or tepid water is preferable.
You could use a flannel or sponge, but when you are trying to preserve skin-barrier function, the best thing is skin-on-skin - so nothing rougher than fingertips.
Stay away from overly fragranced products, which can cause allergic reactions. After washing, pat skin dry. Avoid vigorous towelling as that can also damage the skin’s barrier.