Hello Janethales,
The best time to move your contorted hazels would be autumn. Have a look at Carol's video advice on the website to see how to go about it:
http://www.gardenersworld.com/how-to/projects/creative-projects/how-to-move-shrubs/213.html
The smaller the bushes are, the easier it will be to move them without harming them.
Emma
gardenersworld.com team