Difficult to manoeuvre wheelchairs

Having had to “drive” a wheel chair for an old woman for the past few weeks, I have come to hate the thing. First of all after I manage to get the wheelchair past the bathroom’s door, I struggle to pull it back out again because the front wheels do not really have enough space to rotate the required 180 degrees. Also it is impossible for the lady to go past the doors by herself because we can just fit the wheelchair but not with her hands on the side turning the wheels. Could someone design a wheelchair people could “drive” without their hands extending the total width of the chair?