I concentrate 1. on 'Deep Sipping' a fullish moutful which I let permeate all parts of my lips, tongue, cheeks, roof of mouth and then let it slide down my throat.
Occasionally at the back end of an infusion I will 2. slurp to see if I can find any different fragrance or other nuances. Throwing the tea around the roof of the mouth, to allow maximum penetration of aroma up the back of the nose.
If slurping does not bring forth anything new, I then go into 3. quick gulping by moving the liquid quickly to the back of my mouth and let it cascade slowly down my throat.
Of these I tend to employ (1.) the 'Deep Sipping' technique when in TeaShops trying new teas. I was remonstrated for this by Hojo and his staff, who seem to think when trying a new tea you should use solely technique no 3. so that you can test out the length and strength of the aftertaste.
My usual enjoyment of tea is not 'all' about aftertaste, so when left to my own devices, I revert to technique no 1 and throw the other 2 in occasionally.