I Want To Confirm That My Bitcoins Are Being Held In New Wallet
You can check on 3rd-party pages whether they have knowledge of your transaction: E.g. Blockexplorer shows that address 1HyETxKBZshfu2cdjEWMYntDFabFXsrHe2 received just short of 35 BTC last week. If that's the amount you sent, you were successful.