Shave more often. While this may seem counterintuitive the problem may be that you have let your stubble grow too long.
Use a razor with fewer blades (or one blade). A razor with multiple blades is more likely to cause a nick or cut.
Try a different brand of blade. Blades may look the same but different brands may be made to different specifications (metallurgy, grinding, coatings, etc.) and will affect your shave.
Know the direction(s) that your beard grows in (the “grain”). Follow the grain as you shave.
2. What can I do about ingrown hairs?
Try a “slant bar” or an adjustable razor. They may be more efficient at cutting stubble without it curling back on itself.
Prepare the area to be shaved thoroughly with lots of warm water and a cleanser made specifically for the face.
After shaving thoroughly rinse with warm water, then with a cotton cosmetic round soaked in witch hazel. Then rinse with cool water and follow up with a light aftershave toner.
If you get an ingrown, try rubbing it gently with a soft, dry toothbrush twice per day.
What can I do about razor burn, redness, or irritation?
Use a razor with fewer blades (or one blade). A razor with multiple blades is more likely to cause irritation.
Try a different brand of blade. Blades may look the same but different brands may be made to different specifications (metallurgy, grinding, coatings, etc.) and will affect your shave.
Know the direction(s) that your beard grows in (the “grain”). Follow the grain as you shave.
Make a conscious attempt to minimize repeated strokes across the same spot without shaving lather.
Consider using a pre-shave oil to increase the lubrication of your shave product.