Maybe not. Climate modellers admit to being very uncertain about how global warming will affect particular regions. This is because much of our weather depends on circulation patterns, which could alter in unexpected ways.
Crudely, however, modellers expect many coastal regions to become wetter, while continental interiors will become drier, causing some deserts to expand. Warming will probably be greatest in polar regions, mirroring climate changes this century in both the Arctic and Antarctic.
Local climate could also be altered by changes in ocean circulation. Western Europe could be particularly vulnerable. At present, it is kept exceptionally warm in winter by the Gulf Stream, which is part of the ocean conveyor belt.
Take that away and British weather would be like the Hudson Bay, which is at the same latitude. If the conveyor belt slackens, or the path of the Gulf Stream shifts, that is precisely what could happen. So British hopes of a climate like Bordeaux in the 21st century could be cruelly dashed!