First, let me state my experience, I have only ever "dated" two ladies* in my life as of writing this. So, take all my advice with a grain of salt but it is what I feel is useful. Also, in Biblical times they didn't have our modern version of dating.
Now, some rules: No premarital relations (if you are Christian you should refrain from anything sinful like that), no casual dating, date to marry, and put God first always.
So, here is the actual advice I have for you.
Number one, no interfaith dating.
I know, you can change her/him, that's what they all say. There are some circumstances where it is true, but please try your best to avoid missionary dating. Scripture also warns us of doing so.
Number two, do not yoke an ox unequally.
Date someone who is as devout as you, try to date within denominations or, if between, make sure they are close enough to work out. Do not make your partners walk with God harder because you are weak in the faith, have the same strength to be able to walk together. On the denominations, if a Baptist dates a Catholic how do you think it will go?
Number three, act like a gentleman.
This one is for the men. If you are, or at least act like, a gentleman most ladies will appreciate it. You don't have to go overboard with it, as I said before do not yoke and ox unequally, so just do it enough so she will be comfortable with you.
Number four, be a Proverbs 31 lady.
This one is for the ladies. If you try your best to be a Proverbs 31 lady, or a Godly woman, most devout Christian men will fall for you instantly. Though, being a Proverbs 31 lady entails meeting a "Proverbs 31 man", so do not date those men who are lukewarm Christians if you are devout. If you want to raise your children on Christianity a devout father is often a big help.
Number five, listen.
This one is mainly for the men, but the ladies should probably take this to heart as well. Listen, all they want is for you to listen, don't wait to talk, listen. It isn't that hard, just put away what you're doing and give your future spouse some attention. Gents, ladies will love you if you actually listen, and I know this from experience.
In conclusion, act decent, date in the faith, date to marry, and most of all worship God, not the relationship.