Dab any type of kitchen cooking oil (olive, canola or sunflower) onto a paper towel. Then lay the paper towel over the residue that refuses to budge. Wait a few minutes while the oil works to dissolve the stubborn glue. Finally, remove the towel and rub away the sticker residue with another clean paper towel. However, you need to be cautious with stains on more absorbent materials.
How to DIY it: This job can be messy, so protect nearby surfaces by covering them with plastic or cardboard. Spray the springs with garage door lubricant (about $7 at home centers). Don’t use oil, grease, or other lubricants. They may be cheaper, or you may have them on hand already, but they won’t work as well and tend to pick up dust and grit—just what you don’t want on moving parts.