There are all kinds of handlebars out there. You can get straight, slightly swept back, almost fully swept back, and fully swept back. If you do not know what you want, take your bike into the local bike shop and see what they have. I have wrist issues and just switched to the North Road / 3 speed style that have a 70 degree sweep back, so they are almost straight back. They also have a little forward reach, so I can move around a bit and that is the key to keeping your wrists from getting sore.
Tom