Or you can keep it casual and say something like “Hey, I’d love to keep talking about [insert thing you were discussing]; what’s the best way to connect?” Then the person can give you whatever contact info they’re comfortable sharing, be that their phone number, Instagram handle, or email address. People will usually have a hunch why you’re asking to follow up, and if they have a significant other, they’ll find a way to mention that. (If they’re taken or not interested, they may decline to give you their info at all.)