They are hard to keep here, too. So I squeeze them and put the juice in small containers in the freezer. It's just like fresh. You can also cut the lemon and freeze them in slices or wedges.
YTQ
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You can also freeze the whole fruit. I have an old, at least 45 year old lemon
tree in my back yard that stays full of fruit, flowers or green tiny ones most of the time. They are not sprayed. When I pick them I wash in bleach water, scrub with a plastic scrubber and wipe dry. They keep quite a while, longer in the fridge. I also dry the peels for cookies or cakes. Slivers or when dry put in blender and freeze in a jar. These are marvelous for cookies or cakes.