BUT , you need to remember , hens DO NOT all lay everyday , esp. with the days shorter with daylight hours and winter , they could or may stop laying til spring . Some breeds do , some just slow down .
Also , as they get older in the fall/winter season SOME can go thru a moulting stage where you will find a COOP FULL of feathers , when they do that , they stop laying as well .
So , if you want eggs regular and enough for your families needs , you do need to get more than 5 or 6 hens . More like 10 - 12 . Besides , you will end up getting addicted FAST , so why not plan on that from the beginning . So with that said , make sure when you build your coop and run they can both be big enough for you added amount . We started off with 6 head , we NOW have over 100 of different breeds . 2 cooops and 3 runs , because we DID NOT ever dream we could get so addicted ....
So , as for eggs , I really don't think I have to worry about having what all we will need , PLUS ....