You can import the wallet file directly:
https://blockchain.info/wallet/import-walletBut note that a desktop wallet is much better than a web based one. If you can't wait for blockchain to download you can use a lite client like electrum.
To extract the individual private keys from your wallet.dat file you may want to unlock the wallet first:
walletpassphrase <password> <time in seconds>
For example:
walletpassphrase mypassword 600