I give your plan a 2 out of 10.
You failed to realize that you need to board up the windows, destroy the stairs, reinforce your door, amass a LARGE storage, and secure your family.
The last thing you need is a emotional distress when you see your family as zombies, you want to shoot, but they're your family!
You were also missing proper equipment, a machete is required for zombie close combat, the only durable and powerful enough close ranged weapon for signifigant damage, another nescessity is a hatchet or fire ax, required for immediate escape through boarded windows or holding zombies out from the door. Any fires should be estinguished, and you should attempt to find some type of noise barrier, any small tiny noise could alert zombies to your area.
For ranged weapons, a good magnum or pistol is required, something that's cheap on ammo, pistols and magnums are last resorts though, as aiming is difficult, the shotgun is preffered choice, as most contact with zombies are close ranged, and a good close bang with the shotgun will almost completely destroy the zombie's skull, it's weak point. Included should be a rifle, if you wish to escape from any secured location, you would want a good sniper scope and stock with your rifle, so even as a newbie you can pick off the zombies then escape.
Backpacks are a must, and so is a good storage of dry foods, fresh meat such as cold cuts or any kind of raw/cooked meat will attract zombies. Your best bet is dried food, or food that needs to be hydrated to eaten. Beef Jerky or cold packs of pastrami will doo fine.
There are many more faults, but you should take these into consideration.
