Simply put it comes down to this;

The accuracy is how much a single measurement expresses the actual value. In other words: Off by how much can your measurement be.

The uncertainty describes how much the variation in the accuracy can be of a set of measurements. So, if you do 10 measurements you get 10 different results. The "distance" between those results can be considered a term of uncertainty.

For example, if you shoot at a target with a single gun:

The accuracy of your gun is the definition of, assuming your aim is perfect at the bullseye of your target, how much off each shot can be at maximum.

The uncertainty can be a description of the variation of that accuracy.

In most metrology accuracy can be compensated in part, but uncertainty is an absolute statistical and cannot be "tuned out".

In um movement systems people often are more scared of uncertainty than inaccuracy.

EDIT: It can be more complex in situations and of course in both there's a lot of maths which can link them, but for understanding's sake I left out some of the commas and caveats.