Are Green Products Really Better

What kind of cleaning products will work the best?
My boyfriend and I are moving in together and I had a few questions about out new apartment. It isn’t disgusting, but it could do with a good cleaning before we move in. I would like to wash the ENTIRE apartment, ceiling to floor! I really like the eco friendly cleaning products like the green works line by clorox. I don’t like the strong odors and the severity of them hurt my eyes and my boyfriends sinuses. Here’s a list of things that I would like to do, if anyone could give me back a list of good products that will work, I would really appreciate it.
washing the ceilings and walls
shampoo carpet
polish wood floors
scrub down:
inside of refrigerator
kitchen counters
outside of appliances
inside of cabinets
dishwasher
shower tile (with slight stains)
Thank you in advance, and yes, my boyfriend will be helping me.
Vinegar & baking soda.=)
Green Cleaning: Ecover Cleaning products – Naturally Savvy