This should be your own choice,in terms of both,location and the type of house as well.
In my opinion, Noida is far better place to live then Delhi and Gurgaon.
As far as ,the type is concerned, it purely depends on your requirement, but I personally feel that since you have the budget , go for an independent villa, since you can design it in the way you want
Good luck.
regards,
Nitin.