I think zombies would be like this:
-Recently infected zombies will be just as strong, if not stronger than normal humans. They would be strong because their muscles would not have deteriorated much and would not have sustained too big of injuries. I say stronger because they won't feel the pain that exerting your muscles give, therefore letting them run faster and be stronger.
-The longer the zombie has been infected, the more it would have deteriorated, thereby becoming weaker. Body parts will lose strength and fall off.
-Depending on how intelligent zombies actually are, they may or may not have the motor control to be able to do simple things like open doors, climb vertically, and walk up stairs. They would be able to smash in doors, possibly crawl up stairs and pull improvised "ramps" down to get up things.
If they are like this, than the best places to be would be high places you can only access by climbing vertically. If there are stairs, destroy them after making a rope or some other device to get back down. Shut all doors as they will alert you if zombies are trying to get in. Try not to camp in one place too long as you will just have to fight off more and more zombies when you want to leave.
General tips would include:
-Use bikes for transportation, they don't need gas and are virtually silent.
-Always carry a melee weapon, they never run out of ammo. Also, weapons that have other uses like crowbars, axes, hammers and machetes should be preferred over fancy swords. Chainsaws are generally not a good idea as they can run out of gas and are heavy and bulky.
-Use backpacks. These can help you carry items you may need later.
-Wear appropriate clothing. Long sleeves and pants are the best way to go because you can adjust them to meet just about any temperature range. Plus, you can use the material from them for bandages and still have suitable clothing. Pockets are a good thing. The more you have, the better off you'll be.
-Carry knives. They may not be great for fighting off a zombie, but they are VERY helpful in all other cases.
-Rope. Always have rope handy. Weather it is for moving a large object, used for scaling something, used as a trap, or used to make shelter, you can never have enough of it. Not too thick, not too thin. Chains will rattle and draw attention.
-Always have several extra meals on you. Don't eat them unless absolutely necessary. A couple of cans of soup or other good preserved meals will work well.
-Carry something to start a fire. Flint is preferred, but lighters and matches will work.
-If you are going to carry a gun, carry something that will have an abundance of ammo. Be sure not to shoot unless they are attacking you first, as they will draw attention to you.