When my grandmother was still alive, I remember her using walkers to be able to move around the house. She was very old already so even if she didn't want to use them, she didn't really have any choice. I told her that it's way better than being wheeled around in a wheel chair. At least she was still walking albeit with the help of a mobility device. I know how important it was for her to feel that she can still be independent and that she was not too much of a burden to anyone.
There are different assistive products around like walking canes which are available in many designs. Elders who need more assistance usually use walkers. There are different types of walkers. For those who have difficulty balancing, they can opt to use the standard walker. An alternative are walkers with wheels (two-wheel and four-wheel walkers). A two-wheel walker enables the user to place weight on the walker as he/she moves. The legs with wheels allow the person to easily push the walker forward, and the legs without wheels prevent the walker from rolling while he/she is stepping forward. The four-wheel walker is for someone who doesn't need to lean on the walker for balance.
This makes walking easier and faster. The website Parentgiving.com sells a variety of rolling walkers that all come with built-in padded seats for resting. There are many models with different features that would definitely suit the needs of every elderly person. They're quite affordable too.