As someone who previously managed a portrait artist, I agree with Chris. I wouldn't give them a discount on the price. Give incentives for the future.
At the unveiling party, take your camera and judiciously get some good PR photos while you're there (perhaps with you, the subject and the portrait).
Take plenty of business cards, but of course, don't be pushy about it. You might ask your hostess if it would be ok to leave a few of your business cards out on a table close to the portrait in case someone is interested, but never gets around to talking to you or is simply not ready to state their interest.
And, if a guest does express interest in a portrait for themselves and asks you directly for your business card, ask them "may I have your number also".
Depending on your relationship, ask the hostess about the possibility of putting your portfolio out on a table for guests to browse.
Good luck!
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