It depends on you wanna change your eyes color permanently or temporarily. Colored contacts and laser surgery can realize your dream respectively.
For me, I would like to try colored contacts. It is a simple way to know whether the grey makes you more attractive. If you do not like it, just forget about it.
As for laser surgery, a California doctor has developed a technology of laser that can change eye's color from brown to blur last year. But that surgery could also potentially damage eyes.
I believe, with the development of modern science and technology, the surgery could give your blue eyes more grey in the near future.
At last, I strongly recommend colored contacts. Do not to be test specimen!