Finding space to write is not usually about physical space, it's about mental space. Clearing a space in one's mind where the clutter of all else does not get in the way. One can find time to write and still not have space to write. You can get away from your family/friends/responsibilities and amusements physically, but they call all still be there mentally.
The trick is to find other things to give up in order to have plenty of quality time with family and friends, thereby freeing up mental space that's taken up by guilt over this issue, and then put writing not after responsibilities and amusements, but on the top of the list of responsibilities and amusements.
Finding things to give up may include: not adopting another new puppy (but he's soo cute! yeah, yeah I know), rethinking if you really need to iron t-shirts, and saying no to helping with the fundraiser for your cousin's step-son's boy scout camping trip. Perhaps polish your silver tea set only once a month instead of once a week? You know it's true; there are things you could give up. So what if the neighbors make fun of you if your car has some dust on it, or you loose track of what your high school friends are talking about on Facebook? Certainly, watching reruns of the Big Bang theory could be replaced by reading a story to your six year old.
Okay, so you feel good about the time you're spending with family and close friends. Now you have to face the fact that writing is a major responsibility of yours, not something that takes you away from your responsibilities (silly idea!). And yes, go on, admit it to yourself, even though writing is a responsibility it is not a chore; it's an amusement. You like writing (otherwise just give it up already!), it amuses you, and revitalizes you, and makes you feel alive and accomplished. Really, is bingo at church this much fun? Does watching DVDs give you this much pleasure? Angry birds? You've got to be kidding me - or yourself.
One more thing, if you're just getting started with writing seriously, it's probably a good thing you're reading stuff - like this blog - about writing, but at some point your're going to have to ween yourself off of what can easily morph into a handy little procrastinating technique of considering reading about writing almost as good as actually writing. If you're a writer, it isn't, unless as I said, your just starting out, then yes there's a lot to be learned from others. If you're one of those who should have weened yourself some time ago - you know who your are! - then close down all internet sites, and pull up your word program, and let the fun begin!