Okay, lots of questions to answer for the newbie. Well...not really a newbie to D/G, just to this site.
Why did you pick D/G over all the other pairings with the two characters? Well, for one, I really think pink haired babies would be adorable. *squicks*

And I've always been into love/hate stories. The whole sort of Romeo and Julietish thing they can have going on is pretty neat, as long as they don't kill themselves or anything like that.

And there's always that Git!Ron in the story when they're together, he's really fun to read/write.
There are a lot more possiblities for this pairing than a lot of other ones. Specifically for Post-Hogwarts fics.
Besides, don't you just love it when Draco is being such a prat and he doesn't
know that he loves Ginny but he really does. Then something like this goes on.
Draco: (looks down at hands quickly, then back to Ginny) I love you.
Ginny: (grins) I know.
Don't you think that's something that would happen? Draco would be so clueless, and Ginny would know all along? Okay, I think I might be getting off the subject....
What first got you into the couple?At first I was reading D/Hr *winces*

Dunno what was wrong with me. But anyways, I just tried out D/G by chance and found that it was MUCH, MUCH better. Besides, we all know that Hermione is destined to be with Harry.
How would Ginny keep Draco in check? 
I agree with Kaykos on "denying certain privileges", but maybe she would also refuse to cook for him...that is if she's a really great cook. Maybe none of her famous double chocolate, chocolate chip cookies? That would keep me in check.... Or maybe she threatens to tell all of her brother's about his cartoony boxers. *winks at Kaykos*
Ta--
MalfoyMyFerret