The elderly more often need someone who will give them a patient hearing. Try to inculcate this habit and try to know how your dad and mom have spent their time. But do not at any point be condescending.
We need to understand that the elderly not only go through physiological changes but psychological changes also, hence these changes must be dealt with in an appropriate manner.
While it is important to give them the assurance that they are fit and fine, it is wise to maintain stock of medication for the elderly and have periodic health check-ups arranged.
It helps to have a set of helpline numbers available on the speed dial in case of emergencies.
When you are walking with your parent, always remember that you have to match his/her stride and not the other way round.
If required, special arrangements have to be made in the washrooms to cater to their specific needs.