As far as Carbon footprints, a big advantage of induction is that since it mainly heats the pan it is between 80-90% useful and efficient heat. Regular electric or radiant and gas are far less efficient, more than 50% of gas heat goes out into the kitchen, so you need roughly twice the Natural gas for the same heat output of induction. On a 15,000 BTU gas hob i would imagine only 7,500 BTU's get absorbed by the pan and the rest gets deflected out into the kitchen air or up the hood vent. Also you will never get Carbon Monoxide generation from induction--only from faulty or incomplete gas combustion.
Any magnetic pan will work on induction. Obviously the best will be cast iron (such as a whole range of Lodge or Wagner pots and pans) along with enamel coated La Creuset, will also be excellent. But Demeyere, All Clad, Sitram, and a bunch of other companies make stainless pots and pans that are either suitable for or designed for induction. You can even buy pre-seasoned Lodge cast iron cookware now.
Some induction units make slightly more noise than others, but I find what really quits them down is a heavy Lodge cast iron fry pan or pot. Anything fairly heavy, which makes me think it is a high frequency pan-oriented buzz. Le Creusets have also been very quiet and even many of the stainless models.
These noises usually only occur at very high heat and aren't a bother for most people.
To really lessen your carbon footprint a couple of solar water heating panels are fairly inexpensive and I find in South Carolina I almost never have to turn on the back-up gas tank--maybe 5 times a year. And this is with baths, showers, washing, dishwashers, heating the house, etc. And most governments give a considerable tax break on these too.
Obviously photovolatic solarpanels that generate electricity are far more expensive and for most people would require at minimum a sizable tax break and more likely have the government paying for a considerable portion for you being mostly off the grid. They could make a deal where you sell excess electrical generation to the grid (which happens in many places) and the government gets 50% percentage of the money until they recoup a substantial amount of their investment.
Geothermal is also great and lasts far longer than heat pumps and usues far less electricity. In most of the world in you drill down 4-6 feet the soil temperature is about 50 degrees fahrenheit. To lay the amount of pipe you need if your property is fairly small requires drilling about 200 foot holes (about 2) for every 1,000 sq. feet of heated and cooled house. This will usually cost 3 times more than a very good HVAC heat pump system that operates using the outdoor air. The cheapest form of geothermal is if you live on at least a1/2 acre pond or larger--then you just lay the pipes on the bottom of the pond about 10 feet apart. The pond or lake has to be big enough so you don't have cooked fish, or at least sufficient water for efficient heat and cold transfer without effecting the body of water severely. These geothermal systems are are maybe 25%-50% more than standard heat pump HVACS --and they keep much better humidity control, much less electric use and last far longer than HVAC heat pump systems.
Pardon my digression from cooking into "greenery". But remember, when going green, get at least 3 quotes from different companies for the same type of systems.