Have you considered asking your date what they think might be fun? So far you’ve talked about your goals on a date, but how about your date? Do you think your date wants to get lucky on the first date? Do you think your date is already thinking about a second date?
If there is an agenda, it will be sensed by the other person. There’s nothing like a little performance pressure during your first serious, private encounter, is there? Not only from your date, but from you as well.
Look at the person as someone you want to get to know better, period. Do something first that will give rise to good conversation afterward, because although there may be a physical attraction now, it will either be heightened or take a dive during the conversational portion of the date.