1. Approach them slowly and gently, don't grab them.
2. If your ladyfriend says it's ok to hold them, offer your fingers/forearm but don't force it if they aren't interested.
3. If she places the bird on you, try not to make fast motions, loud noises, or fuss with the bird too much. Let them get comfortable on their own terms.
4. Offer treats!!!! (As your lady what they like, slivered almonds, salt free, are my conure's favorite thing.)
5. ...and perhaps most importantly, EXPECT THEY WILL BITE YOU. When they do, don't freak out. Remain calm, don't yell, don't blame the bird. The little guy is a fraction of your size and that's the only way he has of telling you he's not happy with whatever is happening.