One other way for an easy early survival is to get a horse. If you find a bike, drive around and look for a ranch or a small farm. Those are guaranteed to have animals in them and they are good shelters. You are likely to find a tack for the horse and some kattle food. Feed horse with it and it will follow you around.
Without armor, the horse is easy to kill, so while riding, you have to use at least a spear to keep distance from zombies. Later you can craft armor for it, chittin armor turns it into pretty much a tank invulnerable to regular zombies. Super important to have a long rope with you to tie a horse, because when you have to dismount and you don’t tie horse it can get scared and run away living you with a bunch of z nearby.
The only zombies that can run faster than horse are pouncers and hunters (not sure about predators), but you should be able to get some distance from a horde and finish those guys with a spear. Some zombies like Kevlar zombie can knock you off the horse, it’s super important to get back onto it as fast as possible before it runs away.
Later you can instal a livestock carrier into your car and transport horse safely, otherwise it will be running around your car and might even jump off diagonally if scared.
The biggest downside is that there is a limit of how heavy you can be when getting on the horse, it’s about 35kg on top of your own weight.