Well, there are a lot of Variables that would influence my decision:
First of all, what kind of Zombies are they(Slow, fast, only hs etc.), and through what do they come back to life(Virus[Also if Airborne or not], parasite, radiation etc.).
That is basic Information I would try to pick up as fast as I can.But generally, I would expect to hear about a thing like a "zombie apocalypse" slightly before it hits my town, since its relatively small(Or elsewhise I would interpret the signs correctly before others do and act accordingly).In this case, I would gather a few of my Friends(Regarding family that is important to me, I only have my mom, who lives in the same town anyway)and plunder 1-2 Supermarkets, maybe a construction material market, too(Note: I am pretty sure I could force enough supplies for us if I can get the friends Im thinking of).
Then, the problems begin.I live in germany, and we have few weapons, and all of them are safely locked and not easily accessible.Good thing though, In my town there are british barracks.I would probably avoid those at first, for there is a high chance that they will be hotspots for zombies and refugees alike.There is a small hunting shop in the core of town, where I would try to loot some melee weapons and maybe some ranged weapons like slings and crossbows.
Then, I would barricade myself with my friends in my apartment.I would also try to look after the other inhabitants of my house(I live in a relatively big house with 6-8 families, and 2 neighboring houses in my complex with about the same).If I succeed In getting most of them through the first few days and keeping my apartment block safe, I would start to fortify it.The Buildings are really old with thick, thick outher doors and walls(Unlikely for Zombies to get through if slightly improved).There is a Backyard, where food plants could be grown if we needed to stay for a longer time, and it can be made safe rather easily.It is covered by the houses on the big front side, and there are 2 relatively small gates(Hip-high)on each side where People can get in.Those can be build up to decent walls with a few people in a short time.Then, there is a hedge with a wooden fence on the other side, and another apartment complex.The hedge and fence need to be reinforced to adequately protect the back yard, but that can be done over some time.If the population of survivors increases further(More people finding our safehouse), we could also take on the other apartment complex and have a really good overall fortress, which could hold on for really long.
However, this would be in germany.If I was in a country like the USA when shit happens, I would probably start a Bikergang and ride around the country wildly massacring undead.
This is a rough oversight over what i would probably do if an apocalypse hit right now, but I really do plan to make a REAL anti-apocalypse clan in a few years.If I ever build a house, I will also build a safe cellar where I could survive apocalypses of many kinds.I am rather sure mankind will destroy/almost destroy itself at some point in the future if things dont change, and better to be safe than sorry.