Underarm skin is thin, permanently folded, rarely dry, and the hair grows in several directions at once. Every one of those makes it harder to shave cleanly than a shin. Most underarm irritation comes from treating it like one.
Hair grows in more than one direction
This is the part people miss. On a leg, hair runs broadly one way and a single stroke direction works. Under the arm, growth radiates — some down, some toward the centre, some sideways. Shaving in one direction leaves patches, so you go back over them, and the repeated passes are what irritates the skin, not the first one.
Work in short strokes from three or four angles instead. Cover the area methodically once rather than sweeping it repeatedly.
Stop stretching the skin flat
The usual instinct is to raise the arm and pull the skin taut. Raising the arm is right — it opens the fold so the head can reach it. Pulling the skin taut is not. A stretched surface lets the cut hair retract below the skin when you let go, and trapped regrowth becomes a bump. Raise the arm, leave the skin relaxed.
Pressure achieves nothing
With a foil shaver, the screen holds the blade a fixed distance from your skin. Pressing harder does not bring the blade closer to the hair. It compresses skin against a moving screen and generates heat, which is the burning sensation that shows up twenty minutes later. Let the weight of the device do the work.

Deodorant is the overlooked cause
Antiperspirant applied to freshly shaved skin stings for a reason: aluminium salts and alcohol on a surface that has just been abraded. If you shave in the morning and immediately roll deodorant on, that is likely your irritation, not the shaver.
Shave in the evening instead, and apply deodorant the next morning on settled skin. If you must do both together, wait until the skin is fully dry and cool, and choose an unfragranced product.
Keep the head clean
Underarm shaving clogs a head faster than legs do — shorter, denser hair, plus skin that is rarely completely dry. A clogged head cuts less efficiently, which makes you press and repeat. Rinse it after each session.
Friction afterwards
Tight sleeves and gym tops rub freshly shaved underarm skin for hours. Loose cotton for the rest of the day makes a genuine difference, and it costs nothing.
What to expect
If you have been shaving underarms with a blade and switch method, give it three or four weeks. Existing bumps have to grow out on their own. If irritation is painful, spreading, or producing pus, see a pharmacist — that is no longer a shaving question.
The Veloura razor is a foil shaver with a narrow floating head, which is the shape that suits this area.
On design differences, see foil vs rotary shavers. If your skin reacts to most things, electric shaving for sensitive skin is the more relevant guide.