The British 3 pin plug is the best mains plug for fitting securely into a socket without wobbles. Trying to use adaptors is not particularly safe, particularly for higher powered appliances (don't use for kettles and hair driers). If the plug wobbles, then heat will be generated and a fire risk exists. The adaptors rarely comply with any safety standard and are often made of very cheap materials. Don't use them unless it's for ultra low powered products (phone chargers, etc).
Cut off those nasty 2 pin plugs and replace with good old BS1363 plugs - the safest in the world!