It was supposed to be a vote on whether to fork or not, then leave the deprecated chain behind. The vote for the fork succeeded, and all the developers of Ethereum and 99% of the developers for apps on the chain have decided to go with the vote. Everything is being done on the main chain, ETH, Ethereum. The old deprecated chain is now called ETC, they named themselves Ethereum Classic.
It's certainly fun to watch the fallout...
They aren't at all. Immutable smart contracts are the basis of ETC and not ETH. It's only one difference, but it's a difference as fundamental as the difference between gold and dollars.
ETH is now a centralized currency. I have trouble seeing any purpose to using ETH now that it's centralized, given that existing centralized money/contract systems are much more mature. But given both ETH and ETC are too buggy for me to use, I've no skin in the game, so I'm happy to wait and see if some benefit to a centralized cryptocurrency emerges that I wasn't aware of.
Again though, I think the design of both cryptocurrencies is prohibitively error-prone, so it's kind of a moot point.
If you prefer ETC, you trade all your ETH for ETC, and vice versa. The "winner" is the currency with the higher valuation, but everyone can still use whatever fork they prefer.
The catch is that there is no guarantee you come out ahead, like there would normally be with a double spend. The fork resulted in a price drop (That has now somewhat recovered), and ETC is not worth nearly as much as ETH (About a 10:1 ratio). So ETC+ETH is really not worth much more then ETH was originally before the fork, if it is at all - even if you spend both, you probably didn't make any money on the fork itself.
But the price dropped, so if you had $1 in the ETH(old) then now you have $0.80 in ETH(new) and $0.2 in ETC, so you didn't get free money, only free tokens that you can try to exchange for money in the right place.
(Actually, I guess that the sum after the split is lower because some investor ruined away, so the numbers can be $1->$.7+$.2 or something.)
And beware that since both have the same underlaying technology, then some can copy some transactions from one blockchain to the other, because the signature to transfer the coins is the same in both chains. The solution is to make two "tainted" versions of the coins that are disallowed to transfer in the other chain. Read the sibling comment about the "splitter function".
Though of course only one (ETH) is the 'official' Ethereum chain. But that in and of itself is being debated.