Due to my declining health, how do I change my POA responsibilities to another person?

ElizAlex1943: Retain an attorney.

Always see an attorney.
If finances are an issue ...

Some will work pro-bono - although you have to re-search for them.
Responses here may likely reflect where they live / which state so it is important that you know the laws in Indiana.

Gena / Touch Matters

If there is a second person named as a back up or co-POA that makes it a bit easier to renounce your POA.
If the person that you are POA for is decisional they can appoint another POA.
If the person is not decisional and there is no other person appointed POA there may have to be a Guardian appointed. That could be a family member or friend or the Court can appoint one.

If the principle is not competent to assign a new agent (PoA) then you will need to resign your responsibility. At some point when social services is made aware that the principle now has no representative, their case will be be referred to a judge who will assign a 3rd party legal representative. This is what happened with my SFIL. He got the care he needed.

Is there already a back up person named on the POA document ? If so you may be able to go to a lawyer and legally give up being POA on paper and the backup then becomes POA.

So the principal is the only person who can change a POA.
If the principal is not competent to choose another POA then it is too late to reassign.

If there is any question to the competency level of the principal, see an attorney. Make sure to assign a back up POA this time.