Freedom and better life.
Why does a family move to the moon?
There is no need to search some particular reason, some exceptional force, because of which someone will move family to the moon.
But if you wish one, take look at this
The antibiotic resistance factor MCR, which protects bacteria against the final remaining drugs of last resort, has been found in the United States for the first time—in a person, and separately, in a stored sample taken from a slaughtered pig.
Until biological threats are possible, they involve entry earth and all people living on it.
In space colony you have to control microbiological treats, it's a must, for successful future existence of colony. Nice thing about, you can do it, comparing to Earth, where you can't do it at the moment and in near future. Ability to inhabit space, does not automatically means that this problem will be solved on Earth at that time.
I personnaly preffer to move to space habitat, O'Neill style, instead of luna surface. But yes, luna resources will be handy in building space habitats, for first time.
Better live
You may wish to read Hunger, Malnutrition, Disability-adjusted life year
There were 793 million undernourished people in the world in 2015 (13% of the total population). In 2012 it was estimated that another billion people had a lack of vitamins and minerals. In 2013, protein-energy malnutrition was estimated to have resulted in 469,000 deaths. Other nutritional deficiencies, which include iodine deficiency and iron deficiency anemia, result in another 84,000 deaths. In 2010, malnutrition was the cause of 1.4% of all disability adjusted life years. About a third of deaths in children are believed to be due to undernutrition, although the deaths are rarely labelled as such. In 2010, it was estimated to have contributed to about 1.5 million deaths in women and children, though some estimate the number may be greater than 3 million. An additional 165 million children were estimated to have stunted growth from malnutrition in 2013.
1.5-3 million people just disappeared.
Puff and to non existence, just because there is no food for them?
A year, just in One f Year.
Food, Technology which we have for thousands years, We know almost everything about it, and no food?
Such a waste of human resources.
Even if they are stupid like monkeys, I can suggest 10-100 better ways to use them, then just let them die because of starvation. Sorry kids, just angry like hell at that fact. A Year! In 10 years it means 15-30 millions of people - not many countries are bigger then that. Just Food. And yes, do not watch news, stay where you are, that a good place.
Do not let you to underestimate importance of food problem. Yes 1.5 million people died from starvation, but what it means for them who did't? How many people was killed just by others, to get more food for themselves? For how many it was a first step on wrong way to hell of stealing, drug, murder, rape etc? How many lives was just ruined by that mess, a part of which is created by lack of food, and which connections we can directly observe: lack of food and the result.
Probably I take that information more personally, then it is proper for public answer on pretty harmless funny-pony question. For my experience it's pretty hard to die from hunger. Between hunger and death from hunger, there is a pretty long journey, and if you will get little snacks here and there, times to times - it will take years to die. Thank ancestor's for that gift, humans are remarkably tough sometimes.
I could point positive moments of space inhabiting and most time I do.
But you may take it as a point of Man, who wish take his family of all people, who you do think do not deserves food to be given to them.