MK welcome to the Forum. I think the existing loom on the vehicle has a 'take off' already in place. Have a look under the rear right hand side, there may be an unused socket on end of wire tail.In respect of the towbar, if you order part no. D96844185 this comes with the single wiring kit. Double check with your dealer on this product code to ensure it suits the 2010 model as I have taken this data from the Series 2 (2011/12) model listing but I think is the same for 2010.
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