Someplace with not a lot of windows(less ways for a zombie to get in.) strong doors, close to a supermarket or hardware store for supplies,maybe a second floor so we can destroy the staircase in case zombies somehow get in and we want to keep them from getting upstairs.
How much time would the stairs take? how much noise would be caused?
If zombies were trying to get in, then noise would be the very least of our concerns. As for how long it would take, it depends on what you're using. But I would suggest destroying the stairs at the first sign of a class 2 or higher zombie outbreak just to save yourself some time just in case.
What happens when supplies run out?
Islands have limited supplies like Anthony O'Neil mentioned before and no way to get medical treatment if you somehow get a serious injury unless you bring a first aid kit. Also, since zombies can survive underwater, an ocean or lake wouldn't stop them from simply walking over to the island. You may be overwhelmed before you realize that they're there. So it would be wise to bring a weapon, and a getaway boat just in case.
the fact that dnt breath is one thing, but a decaying body is another, As Max Brooke states they can do certain things, walking on the bottom of a lake bed or any water bed is highly unlikey but still might need to be considered. My all opinion, stay in the city for 3-4 months and then go out where ever.
haha okay makes sence but anything reasonable?
If it's cold enough to build an igloo, then zombies wouldn't be a problem at all. Since zombies don't have body heat they freeze a lot easier than a living person.
Somewhere far from society. The further away you are from people, the less likely you are to get raided, pillaged, eaten. Remember, it's not only the undead you have to worry about, it's the alive ones too.