Andalucia is the mildest part of Spain for the winter months so long as you are not at altitude.
As with the UK the prevailing wind is from the west and the area closest to the Atlantic gets more rain and cloud in winter than eastern Andalucia. I'd be looking in the region between Motril and Cartegena. Almería is reckoned to be one of the warmest, sunniest and driest places in Europe.
Some friends who live at 1000m in the Granada Altiplano (cold at altitude) have rented a two bedroom flat in Mojácar (between Almería and Cartegena) for 100€ per week for Dec/Jan. There's no shortage of lets available.
The weather in Spain is currently as unseasonably warm as in the UK and is likely caused by El Nińo moving the jet stream north. If it follows previous oscillations the weather in Feb could be dire so a good time to be out of the UK.
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"For sheer delight there is nothing like altitude; it gives one the thrill of adventure
and enlarges the world in which you live," Irving Mather (1892-1966)
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