I used linkable LED "tubes", eg:
High quality linkable LED cabinet lights inclusive of accessories for easy installation. Slimline design for unobtrusive installation under cabinets, ideal for kitchens. 1.8m mains lead with 22cm link lead: linkable with up to 12 other fittings.
www.ebay.co.uk
They are pretty generic and assume they are much of a muchness. Cooker hood was the nearest power source, did require drilling some holes in the hood where it meets the cabinets either side, but it's all hidden away and means the cooker hood light button controls the cabinet lights, which is exactly what we wanted.