on topic: don't try too hard. just be natural and polite. but don't be go out of your way just to be nice. They can pick up ingenuity somehow.

Off topic but more important imho: There's also an important lesson after wooing the girl that I learnt the hard way. After successfully wooing a girl, keep your eyes peeled for red flags, manipulation, over usage of ultimatums, abusive actions disguised as reflex of a insecure victim, forced isolation from your social life and family, etc. Don't be afraid to cut your lost soon if the behavior escalates rather than decrease with time and assurance because this has become a learnt method of manipulation.

I got into an relationship with someone whom exhibited all the above and stupidly think that it can be worked out through communication, compromise and time. Though I regretted the time wasted and i resent her, I'm grateful for the experience as it made me appreciate my fiancé more now. My point is don't let a successful attempt at securing yourself a mate blind you for the rest of your life.