Executive summary

Bitcoin is working fine and you can use it as you were before, possibly with slightly more reorg risk for a while.

The BIP91/BIP148 split didn't occur

As had been expected for the last week or so, the big potential split which caused all of the Aug 1 hubbub didn't happen, due to BIP91/BIP148 succeeding. There's a small chance that this split could still happen sometime between now and around Aug 10, but it looks very unlikely at this point.

Bcash split, creating an altcoin

If you had some number of BTC as of approximately 14:00 UTC, and if these bitcoins were secured by private keys controlled by you or in a Bcash-supporting online wallet, it is now possible for you to claim the same number of Bcash coins (BCH/BCC). Bcash is an altcoin based on Bitcoin; since it split, it is now 100% independent from Bitcoin other than the carried-over balances.

Bcash claims to have replay protection, but this is only a Bcash miner policy. Any Bcash miner could still replay transactions. Therefore, you can't safely rely on it.