If you have got contacts that is great. All you have to do is agree an h/rate with them, call the HMRC to register as self employed or you can do it on-line. Every month they will calculate your NI according to the info u have given them & they will send you a bill. You have to keep a record of all your income as u will have to declare it @ the end of each tax yr.
One thing though, make sure you put everything in writting with these contacts cos I have just had 6 months of a heck of a fight with 2 dentists regarding my payments. It got to a point were I was about to write to the GDC & my local MP even the Prime Minister. Thats how I managed to get every penny.