India in a nutshell
For whatever its worth, here are my $0.02
1. The company that's hiring you will figure out the license and other small bits and provide you with assistance, if my guess is correct, your employer is in dire need of crew and will move mountains to get you this side soonest.
2. Delhi weather is quite inhospitable due to its proximity to the desert on one side and the himalayas on the other. Summers are 45 degrees and winters the scale tips to low single digits.
3. I would strongly recommend you either stay in one of the nicer apartments in a place called "Dwarka" Sector 23 (like Park Royal or Beverly Park) which are close to the airport (about a 15minute drive, but you'll have a cab to pick you up and drop you, standard practice in India), or look at the suburb of Gurgaon ... specifically Golf Course Road, which has a plethora of good apartment complexes. One of the critical things of moving countries is to have an ecosystem around you that is conducive and helps you do your job, rather than have to fix out issues at home and then fly.
4. There is bureaucracy, red tape and everything else that has already been mentioned, but it is a whiter shade of grey. The industry just exponentially expanded one fine day and the systems and processes to support such an expansion didn't exist. It is falling in place now, slowly.
5. From a flying perspective, the Indian solution is to throw people at a problem, who sometimes compound the problem. Its a cultural thing, nothing you or anyone else can do about it, where there are a billion plus people, manpower is cheap (which will also work to your advantage with a permanent driver to chauffer you around and maids who will cook, clean and shop groceries for you). It's quite normal to see a horde of people (in excess of 20) around an aircraft at any given point in time, don't freak out. It will slowly sink in. Manpower replaces automation in this country... Hell, when you go to a mall, there is a guy next to the parking ticket machine who'll pull out the receipt and hand it over to you, Only in India does a machine have its own servant.
6. Keep your head low the initial few months, there is lookout at the regulator for loud people and more importantly internal politics (as is with any airline). Figure out your landscape well. Golden rule - never take anyone/anything at face value.
7. I'm sure you're an accomplished flier and you have more to give than take when you're here. Do try and take a few inexperienced ones under your wing and impart your knowledge to them, Indians respect those who can teach. It will help you significantly make friends who matter and more importantly friends who care.
8. As a thumb rule, do not dip your pen in company ink. Consequences are harsh and the law is heavily skewed to the advantage of the women.
Most importantly, take a deep breath and take the plunge. You'll go back with an experience that is richer than writing "crap... crap...crap...crap" on a forum.