Two ways of introduction:
(1) Smooth one.
Since you mentioned Lowlands, my recommendation would be Auchentoshan Three Wood (not just triple distilled!). And as to Irish pure pot stills, I am sure you will enjoy Redbreast and Powers Millenium.
(2) Cognitive one.
I would recommend Redbreast, Laphroaig, Caol Isla, and aforementioned Auchentoshan. Then you will know in which direction to go.