How you introduce it depends on the location and settings. If you've started talking, you may want to go outside for some air. Grab her hand or put your hand at the lower back of her. If a strand of hair has fallen before her face, you can remove it for her without stopping to talk/listen. Stuff like that are great for introducing kino. Another good way would probably be to touch her arm (if they're on the bar disk in front of her) as you exclaim something like "Did you know?" Followed by "Today I [something]" or "You really have [something]" etc.

It does not necessarily need to start on the arms. hands and lower backs are also good. or simply touching her while dancing.

I would not take an acceptance of kino as an IoI, but if she returns it: definitely.

And I have no clue on your last question

~ Nag

And completely unrelated, how likely is it if I make eye contact with a girl, and walk off she will follow (like in styles book?)

look up vin dicarlo's escalation ladder

everything u need to know about kino