Well i think iCake meant "eɪ"/"Ay" and not "Ai" (His examples say so)
So Igor, i tried to compare your "Ays" with this video's "Ays" [--> American Accent Training - Part 02 | Vowel sound AY | Free English Lesson ( ESL) - YouTube ] and i think you're pronouncing it all good except that (i think) it would be even better if you try to make it a bit softer.