Door handles are often forgotten but they are touched every day by many people, so it is a good idea to give them a wipe over every so often. Once a week is more than enough.
All I do is wipe the door handles clean using Gyre and Gymble multi surface cleaner with added eucalyptus oil.
If you have anyone sick in the house it can be a good idea to clean with 100% distilled vinegar. Add peppermint water if you would like to amend the aroma of the vinegar, but be assured as soon as it is dry it will leave no odour at all.
Simple as that!