More 2 cents worth...
If you already made the connection to hook up at the club and you both know what you want and where it will end up, then you can just invite her over to watch a flick, and maybe cook her something decent if you know how, or order in. Obviously you'd have more than beer to offer her, spotless place, etc...
On the other hand, it's acceptable to ask her over even if you aren't sure, but you're hoping like hell... if you're an amazing chef and are using that as your preamble. This can be a successful strategy since she will more than likely have a glass of wine or two, eat well and most importantly, is already there.
If you're not sure where it's going, you could take her out to eat somewhere casual... (the movie/coffee idea is good too if you don't mind sitting next to a stranger for an hour and a half) Doing the formal thing first time is just so awkward and stilted. I would take her somewhere where the tables allow you to sit close, and you can order shared dishes...Asian, Indian, etc... Be normal, be weird... just don't be fake or overly smooth, women hate that. Also, not all girls like to be told they're beautiful etc., all the time, because that's what they always hear... some would rather be teased good-naturedly. It shows you notice something human about her and seems less like BS. Don't go on and on about yourself, especially about your training
, unless you're willing to listen to her about hers. Look her in the eyes but it's usually better to stay away from that intense predator face that says you're moving in for the kill.
The rest depends on your great skills of seduction...
Good luck and remember, we're all counting on you.