Before purchasing peeling equipment, consider whether you can avoid having to peel vegetables at all. For example by cooking potatoes in their skins, or roasting/baking vegetables in their skins. Alternatively, several of the products listed here allow you to scrape vegetables instead of peel.
Mashing potatoes using a masher with a more comfortable handle can reduce the strength and effort required. As an alternative you could use instant mash or a handheld blender (readily available on the high street).
Grating can be made easier by using a grater with a feature such as having food container attached or one integral to a food work station. A box grater is the most stable of conventional graters but only allows you to grate in a vertical action (Disabled Living Foundation, 1996).
Food processors are able to carry out a range of tasks including creaming and grating.