Tuesday should be a brighter start further west, but mist and fog could be slow to shift, lifting into low cloud before eventually breaking. Into the afternoon it should be bright and sunny everywhere with highs again of 21C.
The rest of the week is generally settled. That means it won't be wet and windy, but then again it won't be gloriously sunny. It will, however, be warmer than average for the time of year with highs around 20C. There's a chance of seeing some dampness in the air from time to time.