All you have to do is to convince the immigration officer that you will leave the country after your stay, and what should convince him more, than having wife and kids waiting at home. SInce you mentioned VWP and ESTA it can be assumed that you hold a passport of a "good" country, otherwise it would not be on the VWP. The immigration officers concentrate more on the "bad" countries, those with lots of visa violators are illegal over-stayers. No need to worry especially if you have already entered the USA under the WVP.
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