In the end, we opted for two fixed air con systems - one upstairs and one downstairs. Expensive to install, and can be expensive to run, however we also installed solar panels on the roof, which reduced the electricity costs to zero. They still need to be serviced every two years.
An advantage with fixed air con systems is that they can be run in reverse to give very cheap heating, but this works best in early spring and late autumn. For winter, we still have the gas central heating.
Shopping around local installers, you could probably get fixed air con systems installed for about 1200 pounds each. Servicing every two years costs around 70-100 per system. Solar panel systems start (I think) from about 6500 pounds, but you will get that money back with interest!