Evidently I'm cutting off or silent on the starting bit of the "proper" pronunciation. /s
The closest I'm getting to that first part everyone is talking about is a little nearly-silent "pop" or "puff" of breath as the tongue moves into position for the actual "I" sound, or if the "I" follows another letter in a word there's a tongue position shift from that letter to the "I" itself. (I don't know how else to describe it... there's a silent movement of air during the part where I'm being told there "should" be another sound leading into the sustained "I" sound.)
And yeah, it's try, fright, sight, sigh, eye, kite...