As Ray points out, there is an almost impossibly large number of premiers crus, which I think stops most people from ever trying to sort out what’s really going on in Nuits, and instead they concentrate on a couple of vineyards that they like. But it’s actually not difficult at all to understand as the vineyards break into organizable units. The first and most important cut is to divide the vineyards in three: those at the south in Prémeaux-Prissey, those in the heart (i.e., north of the vineyards of Prémeaux-Prissey) up to the river that slices the town of Nuits in two, and then northern portion on the slope shared with Vosne-Romanée.
Starting with the Clos de la Maréchale, I find the wines of Prémeaux-Prissey are lighter and more mineral and stony than the others, although as one moves north to the Clos des Forêts and Didiers, they begin to fill out and increasingly resemble the wines of the heart of Nuits. You really can sense the stone in the soil with these wines. One peculiarity is the premier cru Clos des Grandes Vignes which is east (downslope) from the route nationale, the only premier cru in Burgundy to have that dubious distinction.
The heart of Nuits is where one finds Les St-Georges, Vaucrains, Cailles, Porêts-St-Georges as well as less well-known but very vineyards such as Rue de Chaux, Chaboeufs, and les Procès. These are generally richer, more tannic wines, generally with dark fruit. Within this sector, there is quite a fascinating difference from one vineyard to another depending on soil and exposition. In particular, as one moves north, exposition changes from east to a more northerly direction and the vines are exposed to the winds that come down the valley of the Meuzin River.
Last is the slope of Vosne, where the texture of the wines changes, becoming smoother and less hard and therefore more sensual, and many of the wines pick up a spiciness that announces the approach of Vosne-Romanée and the closer one gets to Vosne, the more pronounced that character seems to become, although there can be variations due to altitude and soil. There are some great and greatly underrated vineyards in this part of Nuits, IMO, each with its own personality.
There are also a number of climats at the village level that can give very interesting wine.