Sometimes some of the utilities are covered, esp water for a house with a yard. We did not do this when we were landlords, but I have come across it as advice for those considering landlording. If this is the case, then the difference between the two is smaller.
As for pet rent: owners charge this because of the potential for damage that a pet can cause. This can sometimes be negotiable, especially if you offer to do stuff for the owner such as allow periodic inspections. If it's a cat, the worry is the cat peeing all over, since the smell can be very difficult to get rid of, and soak all the way through carpet and pad. If a dog, then chewing or scratching is the problem. If it's a property management you may not get too far (though ask them to ask the owners even so). If it's a direct owner, then they may be willing to negotiate more, especially if you offer inspections, and if that won't sway them, possibly a bigger deposit.
What is your vehicle situation? If you would considerably decrease your driving, you may be able to decrease your insurance on the vehicle. Obviously wear and tear will go down, as well as gasoline expenditures. What about stuff like working out? If you would drop a gym membership or sell equipment because now you're walking, that may also be worthwhile. As would connecting with neighbors in a more walking neighborhood, which could include: trading veggies or babysitting, decreased stress (which helps long term health care costs), and of course all the intangibles. Walking your kids to school may not have a price, but $90 (or less) might be worth it, for example. Not just for your own happiness in spending some pleasant time with them, but also some other things like demonstrating a certain lifestyle for them and the possibility of learning more about them that may not come about in a car ride, because walking lends itself to better conversational interaction than sitting in a car, especially with you in the front and them in the backseat. They also might get to school a lot more prepared to learn than they would sitting in a car for X minutes, since exercise stimulates blood flow to the brain and sitting has the opposite effect.
Not every single decision that saves money is the right one. The point of Mustachianism is to realize *why* you might be spending the money and really choose if that matches your values, and why.