I used to use headphones with mic's but honestly, they aren't generally much cop unless you are willing to remortgage your house to buy one, these days i use a standalone mic, they are cheaper, though i use that word loosely as its more of a cheaper by comparison kind of thing, than them actually being cheap! and tend to be of better quality and less likely to be easily damaged than those you get as part of the whole headphone package and you don't have to practically eat the things for them to work, being within a couple of feet of the things is usually enough so that makes them far less intrusive than sticking something practically to the side of your mouth, if you intend to podcast/stream etc. then a standalone mic is better, most podcasters i follow use standalones probably for that reason, though i have to say if your family has problems with the amount of 'noise' you make when playing games then headphones might be your only option.
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https://www.amazon.com/Sennheiser-GAME-ONE-Gaming-Headset/dp/B00KK8ZLEC/ref=sr_1_2?ie=UTF8&qid=1506861372&sr=8-2&keywords=sennheiser+game+one
It's the best pair of headphones I've ever owned aside from my other pair of Sennheisers that I use for music.