Another Scot - currently going to Scottish Episcopal Church - part of Anglican Communion, so close to CofE, but with some significant differences too.
TiredLady - there are so many denominations, and so many words used to describe them, that it's really tricky!
Evangelical sort of means interested in preaching the gospel, but churches in this category also have a very strong view on the authority of the bible and tend to emphasise the need to be "born again" into Christ. They do tend to be happy-clappy, but don't have to be.
On the other hand, churches which describe themselves as liberal "interpret scripture without any preconceived notion of inerrancy of scripture or the correctness of Church dogma" (Wikipedia) - ie they study it and learn from it, but do not view it as having authority. But they can look quite traditional or look happy-clappy!
Protestant churches tend to stress the need for personal responsibility and a direct relationship with God.
Catholic churches tend to put high value on tradition, and the position of priests (and saints) interceding for believers.
Charismatic churches "believe that the manifestations of the Holy Spirit seen in the first century Christian Church, such as miracles, prophecy, and glossolalia (speaking in other tongues or languages), are available to contemporary Christians and may be experienced and practiced today."(Wikipedia again) - so their services tend to include these kinds of things, and they often have "healing services" etc.
But, all these things are not mutually exclusive, so a church might be described as "Evangelical Catholic" or "Charismatic Evangelical" etc.