Up with sea level

If 2010 was the warmest year on record then more moisture must have evaporated from the worlds oceans, lakes and waterways. A warmer world means more melting of ice in places like Greenland and Antarctica doesn't it? This would raise sea levels as the melts runs off into the oceans. A warmer world would mean more precipitation as rain and less as snow wouldn't it?

So how come sea level has been falling since 2010?