I would stay where I was currently and figure out how to build my own shelter, while using the safety of a smaller building with little to none open entrances first. Eventually domesticated animals would form families and packs, so I would have to prepare for it. I would try to find food for myself, and a large backpack to carry it in. Since nobody is alive, I could just take can openers and canned food from stores, because canned food lasts longer. I would avoid carrying anything that needed to be cooked, because the smell of cooking food attracts animals, and with no way to defend myself it would be extremely unsafe.
The animals would eventually start to hunt, and I would need to avoid that. I would find a dog or two that were still obedient to humans and train them to be mine and to help me hunt and fight/protect myself. I'd need to find a pharmacy so I could also pack medicine, disinfectant, and bandages. I'd also need a sleeping bag and extra clothes once mine became too raggedy and torn to wear anymore.
I would have no choice but to travel, it's never a good idea to stay in one place for too long. I would take my dogs with me, two males would be preferable to avoid being slowed down or burdened by the birth of puppies or one of my dogs becoming pregnant from either it's partner or a wild dog. Once their instincts kicked in more, they would be able to hunt cats, small critters, and birds on their own without my help. I'd probably be forced to share a meal once in a while, also being forced to create a fire in order to cook the food so I don't get ill from raw meat.
Winter time will be the easiest to survive in as long as I scheduled my traveling correctly and got to some place warm during the winter season. I might need a car for some things, but if it's just me traveling alone it would be harder to carry a gasoline container everywhere on top of all my other supplies, so I would probably switch from vehicle to vehicle depending on how badly I needed the transportation, only in dire circumstances would I rely on using a car (unable to find or make shelter, needing heat in an area where it's not safe to build a fire).
I would either become a master of survival, get ambushed by animals within the first 5 years of being the last human and get eaten, or die of some kind of illness that I needed antibiotics/medical support for. Humans originally never survived long to begin with (only living until they were about 25-30 years old), and we only lived this long due to how well we adapted and all the medicine we made to fight disease. I think falling back to natural instinct after being pampered for so many years would be really difficult, I don't see myself lasting very long as the last human on Earth. Also, my dogs would only live for maybe 14 years so that too puts a bit of a time limit on how well my survivability would be.