There are advantages to going to a movie first, it gives you something other than yourselves to talk about at dinner. Though, "Dinner and a Movie" dates these days cost a small fortune. There is that to be considered.
I'd imagine the "grab a slice and a cold one" is over-played in NY. But, it's also probably a fail safe and a guaranteed good time.
As for kissing her, she'll let you know if she's receptive or not. Just pay attention to her body language. If she's crossing her arms a lot or seems removed from the conversation, the date is likely turning sour. If she's laughing and touching you in a playful or flirty way, then she's probably open for a soft kiss on the lips.