Can I bathe during confinement? If I can't, how do I wash my private part? Can I even touch water ?

Of course you can bathe during confinement unless it is a tradition/culture that you don't bathe during confinement. Just maybe wiping down perhaps. But, nowadays people do bathe during confinement. They shower once a day/twice a days with warm water. For C Section mummy, wound area covered by plastic. For mummy with stitches at vaginal area, will seat on sitz bath at toilet bowl.