Most Helpful Guy
I'd enjoy a girl suggesting doing something together just as I would ask them. I have no double standards there, and sometimes it's nice when a girl does that; especially if you have no idea they're interested in you.
A date can be any number of things. Go out for a drink, sit in the park, play putt-putt, movie, dinner or even a coffee date. It can be as formal or informal as you want it to be.