Don't go. 10 months is too young for travel that is not emergency related.

Their immune systems are still developing and they are prone to picking up things.

Worse, they are too young to enjoy or appreciate it. Meanwhile, you become one of "those" parents who subject everyone else to the screaming and crying of your kid, the poopy diaper stink, and the seating problems. There is absolutely no reason a child under 1 year old should be in a restraunt, especially one designed for "fine dining" as you put it. The presence of a child degrades the experience for total strangers. A 10 month old is too young even for Chuck E Cheese, where you SHOULD be going with kids.

You need to get used to the idea as new parents that your adventerous couple days are over..or at least on hold...for a few years while you raise this child. If you want to travel and enjoy fine dining, you will have to find someone to babysit. You cannot have your cake and eat it too.