I'd also vote for the Pullman at Aerocity, and strongly encourage securing transfers from and to the airport through the hotel (free or paid) as well as eating at the hotel for your stay.
As reported here
How does Accor treat you as an Elite guest? I had a very good experience here in early 2020, as a stopover enroute to Jaipur to catch-up with my family who started our holiday earlier than I was able to.
Have Platinum status. Contacted the hotel in advance to enquire about transfer options as the room I booked didn't have complimentary ones. Was willing to pay even though probably 10x more than a taxi, but still ok when converted to our $A. Was offered free airport transfers per my status (and was ultimately upgraded to a suite which would have included them), as well as use of a driver and town car for variable hours and reasonable rates during my stay. As others have stated, the transfers significantly ease the arrival experience - eliminates the uncertainty, no need for cash, (which can be an issue in India given restrictions on bringing currency in and out) and quick entry to the hotel. I'd happily have paid.
I've been to Delhi a couple of times in the 90's and 00's so no need to revisit the main attractions, but I was keen to re-acquaint myself with the city. While I have heard very good things about the Metro, I now do not prefer walking or public transport. So the town car was an excellent option. Modern and safe vehicle, with an excellent driver who spoke perfect English, was happy to take me anywhere within the hours allocated and ensure my comfort and safety, including purchasing entry tickets at local rates (which I declined). In the end we just spent a few hours driving around with a few stops for photos and short walks. It wasn't a planned itinerary but you could ask for or advise one. Traffic was fine. Could be an option for your first afternoon and evening to get a night experience.
May not be what you are seeking but worked well for me, so thought I'd mention. Note I did give the driver a good cash tip.
The lounge was good (if you qualify or book an eligible room) - quiet with very decent service and good views. Restaurant for breakfast an excellent, safe option. And with an extensive 24 hour room service. You'll get an acceptable taste of India but should be assured of a safe experience.
Like others, I'd regard India as one of the safest places for a male to wander around just using basic common sense. There are people around everywhere, 24/7, and they'll help strangers if needed.