Your infant doesn't need much bathing if you wash the diaper area thoroughly during changes. 2 or 3 times a week during her first year is plenty. If she is bathed more frequently, it may dry out the skin.
During the first week or two, until the stump of the umbilical cord falls off, your newborn should have only sponge baths. In a warm room, lay the baby anywhere that's flat and comfortable for both of you - changing table, bed, floor, or counter next to the sink will do. Pad hard surfaces with a blanket of fluffy towel. If baby is on a surface above the floor, use a safety strap or keep one hand on her at all times to make sure she doesn't fall.