If you did a cost/benefit analysis on this already, I'd like to hear the details.
Note: I have worked from home for four months and then worked from a coworking space the past month.
But I found it didn't actually provide anything, except for extremely high-quality coffee -- everyone was extremely hard at work, there wasn't really any socialization going on at all, so it was hard to see any reason to pay, when it wasn't really different from working from home.
It seemed to make more sense as a location once you've got your first two or three employees and you all want to have a spot to work together, but you don't want to rent a proper office yet.
But I'm sure a lot of coworking spaces are all different.
I've seen in other threads that this becomes a factor. Having other people around (though sometimes distracting) keeps you fresh and helps prevent loneliness. Perhaps your motivation to do out-of-the-house activities help.
But on the other hand, you absolutely do need to be very on top of scheduling activities, and make sure you get out of the house at least once a day. Friends, romantic partner, sports, groups, these things are all key no matter if you work from home or not, but especially if you work from home.
That is so damn expensive. I used to use one, near the heart of London (Farringdon), and it was £50 a month.
We have the rule that somebody with headphones cannot be distracted, but even with this sometimes is hard to get focused.