There are many factors involved, so this is worth yet another answer. At the end of his/her answer aretxabaleta states:
In general, the areas near the poles have a negative trend (sea level is dropping, not rising) because of the Glacial Isostatic Adjustment (GIA) as the crust is still rebounding from the previous glaciation. In mid-latitudes, on the other hand the sea level rise rates are maximum
In those locations however, there is a stronger effect:
The ice masses themselves exert a large gravitational pull on the surrounding water, resulting in a lowering of the sea level around those masses (Greenland, Antarctica) when the ice melts.
This may seem counter-intuitive, and is best explained by looking at what happens when the ice masses grow:
The gravitation of the growing mass pulls water towards it. The resulting sea level rise on the edges of the ice mass is therefore larger than the eustatic (global, uniform, across the world) sea level decrease that occurs because of the water moving into the ice. The effect is that near the ice mass, sea level actually rises, and far away it falls faster than 'expected'.
When the ice melts the reverse happens: sea level close to the ice mass will drop, sea level far away will rise more than 'expected'.
To give this some actual numbers:
The eustatic sea level rise corresponding to the melting of the Greenland and West Antarctic ice caps is both approx. 6 meters.
Here in Europe (I live in the Netherlands) however, the Greenland melt would 'only' result in approx. 3 meters rise, because that is relatively close, but the West Antarctic melt would result in something like 8-9 meters extra water.
This picture shows the relative effect calculated for water running of West Antarctica. You should read the numbers as a multiplication factor to apply to amount of sea level rise in the case of a uniform distribution.
Sea level change associated with a uniform thinning of the West Antarctic Ice Sheet (WAIS). Their result, reproduced in Fig. 1(a), was normalized by the eustatic sea level change (i.e. the change computed assuming that the meltwater entered the present-day ocean uniformly). [...] The map shows a peak sea level rise greater than 25 per cent above the eustatic value in the north Pacific and more than 20 per cent above the eustatic in the north Atlantic and Indian Oceans. In addition, the sea level fall is greater than five times the eustatic amplitude in the ocean adjacent to the West Antarctic.
On the robustness of predictions of sea level fingerprints
J. X. Mitrovica, N. Gomez, E. Morrow, C. Hay, K. Latychev, M. E. Tamisiea
14 October 2011