Hi there,
Tuberous breasts are complex developmental constricted breast base anomalies with varying degree of severity. There are a wide range of surgical approach and techniques with both cosmetic & reconstructive implications. Patients' desires & expectations, surgeon's experience & preferences are also important consideration in the overall surgical management plan.
Without seeing any photos, it's difficult to comment any further about your particular situation. It'll be best for you to seek a in person consultation with a specialist plastic surgeon who specialises in both reconstructive and cosmetic breast surgery. 
For further assistance, feel free to submit an enquiry to my practice via PSF for more information.
Hope that helps.
Best wishes
Ellis Choy

Thanks for sharing your story.Without seeing photos it is impossible to give you advice.Tuberous breast deformity is a spectrum of conditions from mild to severe.Any surgeon who offers this surgery is by definition someone who specialises in it.What I mean is that "cheap clinics" generally don't have the skills or expertise to correct tuberous breasts so don't offer it. I would see 2-3 plastic surgeons and see which surgeon you are most comfortable with and who will give you the best result.
The surgeon in the UK, isn't doing anything unique, what he is doing is standard for all tuberous breast surgery.
I hope this helps and good luck.