DD is a similar age (she was due a week before your DD was born ), I just leave her to it, so nights she eats and it is pretty cruisy, other nights food just goes everywhere, I have a large plastic mat (just got some plastic tablecloth material from Spotty's) and have it under her highchair.
We offer her what we are eating, occassionally something different, and then after she's had a good "shot" as it, I offer a desert, so either fruit or yogurt and if she eats she does if she doesn't I don't bother. Some nights we have a tower of food on her head she has become quite adept at piling food on her head, behind her back in the highchair or just propelled onto the floor. I swear that I am cleaning up as much as I plated up for her! But as I don't see exactly what she has eaten at Daycare, I can't tell whether she had already had enough for the day so we don't force it.
Last night she was so tired she didn't eat any dinner whatsoever, just wanted milk and was asleep by 6:30pm as she hadn't had a day sleep and just ate grapes all afternoon
We have found that if we don't gve her any attention while she eats, not even looking she actually eats more. But if we try to feed her, or make comments or watch her, it just becomes more of a game, she throws more and makes more of a mess. I have made sleeved bibs so it makes the cleanup a little easier
If we can we eat the same time, but most of the time she eats a lot earlier than us.
I do find though if I leave her too long she spreads what she doesn't want all over herself, especially pasta, and yogurt but I look at those moments as photo times for her 21st
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