The 3 most common Home Remedies I see for the Puffy eyes is:
1) Cold Cucumber slices over eyes
2) Wetted tea bags over eyes (way to apply them is after making tea (letting set in water 5 to 10 min, take out, put in refrigerator 10 to 15 min, then apply to puffiness, flip after few min.
3) And Wet potato slices
From what i read the tea bags have somewhat good success
For discolored under eye the others covered above with concealer/color