Hi BeckieSue! There are a lot of groups around, who do all sorts of different historical periods. Some do living history, some do display/theatrical fighting, some do free combat and most do a mix of all of those things. I’m part of a big national Dark Ages society called The Vikings (website here: http://www.vikingsonline.org.uk/) – between them and another national group called Regia Anglorum most of the country is covered. There are also lots of independent local groups, like the one I fight with in Oxford, who are called the Wychwood Warriors.
In Oxford we fight in the park (which amuses the tourists and annoys the ultimate frisbee players), but with my group from the Vikings, I train at Old Sarum down near Salisbury – have you heard of it? It’s an iron-age hill fort and English Heritage give us special permission to fight there every week, which is amazing. Only beaten by doing the Battle of Hastings every year on the original battlefield – that rocks.
Anyway, if you would be happy to say which area of the country you live and what type of reenactment you’d be interested in, I might be able to put you in touch with a friendly and local group. I definitely recommend giving it a go, hope you find somewhere 😀