The internet and technology has largely changed the way we look for property, and for the better. There are a large number of property portals which can make your searching much easier.
You should register for email alerts on as many of these as possible and simply kick back and wait for the properties to come to you. Make sure to filter your results by entering specific requirements ie. location, bedrooms, minimum price, maximum price, garden required, garage required etc. This ensures you are getting alerts of relevant properties rather than being bombarded with everything.
The main UK property portals include Rightmove, Zoopla, easyProperty, findaproperty, primelocation, onthemarket, yourmove and home.
If you live in Northern Ireland the two main property portals are propertypal and propertynews.