Another option in addition to the ones listed above, and depending on how far the pooling is away from your house, is installing a rain garden. We back up to a creek/swamp that dumps into Swift Creek Reservoir, and parts of our backyard were perpetually pooling or soggy. We had a company come put and install a rain garden in the lowest area, and we have slowly added water loving plants to assist with soaking up water. The James River Soil and Water Conservation District was proving some funding prior to Covid for installation of rain gardens, but funding got cut during Covid, and I'm not sure if it's been brought back.