Can you actually ram spikes into zeds with a pushed vehicle? On the other hand, I am now considering electric motorized shopping carts with spikes. Those sans spikes DO exist, incidentally, for the sake of handicapped customers, so it’s not a farfetched thing to even be added officially.
As for earlier questions of builds, I hold that melee builds are superior for city exploration. Towards that end you can gear for unarmed, light weapons, or heavy weapons. The common link among all of these will be strength. Dexterity is important as well, but can be neglected dependent upon what you want to focus on. Intelligence and perception are primarily for how much importance you place on bionics/booklearning and ranged combat, respectively.
Unarmed - Fast attacks, and you are allowed some further specialty based upon which style you pick. You can easily work it into an archer or gun-centric build by taking Tai Chi (bonus to block absorption from perception) or Snake Style (bonus to hit and damage from perception). Most styles have good defensive capabilities, block being most common. Tends to work best with light or little armor/clothes to accentuate speed. Also the best pairing with mutations, cephalopod especially for extra attacks.
Light Weapon - Here you have your knives and whatnot. Fast attacks and the like, but tends not to carry many side bonuses (block, etc.). This is more likely a range-focused character’s melee option than a specialty. If you focus on this, light armor helps to keep your attacks fast.
Heavy Weapon - Sluggish, but hits like a truck. Zweihanders, sledgehammers and the like fall into this category. Dexterity is more important here because missing will result a stumble more often than with lighter weapons (by my conjecture anyway). These tend to carry more bonus effects (block, etc.) than light weapons. Wearing heavy armor/clothing is almost obligate because you expose yourself by how slow you’re swinging.
No matter what your style though, use of terrain is important, especially early game. If you’re having problems exploring the city, you’re probably not making good use of your terrain to single out your enemies and get free shots on them, or you’re letting yourself be overwhelmed.