There are a few more things that you can do to make the bathroom safer when you start to provide elder care.

We had the bathroom gutted when my father-in-law moved in with us.  At that time we had the traditional hot and cold faucets.  The code had been improved and we installed a single faucet system.  This single faucet system makes it easier to turn the water off.  This is especially important if your loved one lives by his/her self and is able to still bathe  themselves.  If the water gets too hot there is no confusion as to which faucet to turn off first.

If you are going to gut the bathroom and the loved one is heavy you may want to consider reinforcing the walls.  This will allow you to anchor a heavier grab bar that will support a greater weight.

If your loved one lives by his/herself lower the temperature of the water to 115 to 120 degrees.  This will prevent an accidental scalding.  A woman I know went to take a bath some how lost consciousness, the tub overflowed with scalding water and she died in the tub.  The water went through the floor to the apartment below and that is how they found her.