Well first off, I really don't have much experience to be talking from. After all, I've only had 3 bouts with the axe. That's it. You can read about them here.
So instead of trying to bullshit ya'll with my "immense" knowledge and experience, I will simply repeat a few gems from the Anonimo Bolognese and Le Jeu de la Hache.
- Aim for the weak spots in your opponent's armour - usually the armpits, insides of elbows, palms, throat, etc.
- Use a stop-thrust to the face, throat, chest or arms whenever you can get away with it - when your opponent changes guards, telegraphs a blow, or enters into measure without covering themselves.
- Use feints.
- Use the head (hook, hammer, axe, whatever) to hook your opponent's haft, arms, legs, collar whenever you can - if you throw a blow at their head & overshoot, pull back HARD!
- Don't forget the feet! Yours or theirs. Queue thrusts to the feet can be very sneaky.
- Keep whatever end you have facing your opponent moving, especially with thrusts to the face or feet. This way they can't find it and put it aside
- Control your weapon - don't open up too much space between you & your axe. Don't let your blows go too far outside your opponent's silhouette.
- Protect your own weak spots - don't give your opponent an easy shot to your palms or armpits.
- Do not enter into measure without covering yourself with your axe & don't telegraph your blows.
- Be careful of over-commiting yourself while parrying.
- Whenever you can, use your axe to control theirs & set it aside.