The Hyatt Andaz is a fairly new hotel located in the complex of hotels and offices in the Aerocity complex at the easy end of Delhi Indira Gandhi airport. There are other hotels in this area that have been variously reported, some with issues acquiring a suitable room for spotting. No such issues at the Andaz.
There doesn't appear to be any shuttle buses - Uber is easy and cheap enough in India or those of us who like this sort of thing there is a metro station at Aerocity. It is a bit of a trek to the Andaz and for the sake of a cheap Uber fare, I would use Uber next time.
This is quite a high end hotel and you'll be served a cool drink at check in which is vert refreshing. I was allocated room 665 - rooms from 655 to about 670 would work for a good view across all three of Delhi's runways. Higher than that the rooms turn to face north which would yield only the centre and northern runways: whilst I was there the centre runway was not used/
With an airfield of this size and plenty of obstacles it does take a little while to get your bearings. Electronic spotting aids such as FR24 or SBS are essential due to both the distances and how warped the glass is: it is almost impossible to read anything off through it. It follows that it is not suitable for photography. The Indian AF IL-76 ramp is immediately opposite.
Being a full service hotel there are a variety of dining options, and a short walk away in Aerocity there is a range of cafes and restaurants with some global brand names if desired.
https://maps.app.goo.gl/2R7WTrWnAghb3YdG9
