As a new member and relatively new gardener I am looking for some advice regarding my new lawn.

I have recently bought a new house and, like the house itself, the garden is in need of a great deal of attention. The elderly gentleman who owned it before me used almost all of the plot for growing vegetables and although I want to keep some veg I decided to convert a large portion of it to lawn. I spent several weeks weeding, leveling and digging out all the old veg. I sowed the grass seed a few weeks ago and there is now a lovely covering of new grass. Unfortunately this week I started to notice the new leaves of potatoes also coming through. I was gutted because of the amount of time and effort I put in preparing the site.

I'm now not sure what to do. As there appear to be 40-50 plants coming through I don't really want to mess up the new lawn by digging them all out but I'm guessing that if I just mow the tops off them they won't die but will just multiply. I'm hoping someone might be able to suggest a solution - maybe there is some systemic treatment I can use to get rid of them ?

Any suggestion would be greatly appreciated as I really don't fancy the idea of having to start all over again !