If your proposed move will not interfere with the contact that your son's father has with him, then your proposed move should not be opposed by the court.
You will need to apply for a specific issue order from the family court.
In order to do this you have to attend mediation first. This might mean that you can get agreement without having to go to court.
Please see here for a link to find your local mediator:
For the court order, you would apply on a c100 form, here:
You send 3 copies of this form to the local family court centre.
Alternatively, you can apply online:
The application costs £215.00, and you can represent yourself so you don't need to engage a lawyer. You can also possibly get a fee exemption if you are on low income/have low savings.
For this you would need to fill out a fee exemption form: http://www.gov.uk/get-help-with-court-fees
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