Having got a closer look at my new yard it seems the grass is more weed than anything else. I asked a local gardener to have a look at it and he suggested re-turfing would be the easiest solution. I am a bit concerned about the cost, is it really the best way to go?
The only way to acurately make that assessment is to actually see the lawn.
I can tell you trying to kill the weeds without killing the grass is going to take a lot of time as most selective herbicides are temperture specific, in other words they are most effective and efficient in the cooler months of the growing season. So any weeds left in the warmer months must be pulled or thier seeds wil become viable and spread to germinate, if not that summer than the next. Should you use these herbicides in warm temperatures you are going to damage the grass.
If you don't re-sod it's probably going to take years to get the lawn to a point where it will meet your acceptance.
To sum it all up for you:
I suppose your problem can be solved with money, or hard work and time and not so much money.
And this caveat:
Without seeing your lawn and not knowing where you live and what other obstacles may lie between you and the perfect lawn, this is nothing more than an educated guess based on my personnal experiences in my location.
Good luck
RB