If you own Bitcoin and put your trust a third party to hold them, then you are missing point. Store your Bitcoins in an open source wallet like bitcoinarmory.com and you can be certain that offline cold storage and an m-of-n paper backup will keep your Bitcoin secure from theft, a house fire, or even forgetting your own pass phrase.

Do not rely on your memory alone to access your bitcoins! If you use the open source program Bitcoin Armory, you can create a fragmented paper backup of your wallet. With a fragmented backup, if you lose your password you can recover your bitcoins with M of N fragments where you chose M between 2 and 8, and N between 2 and 12 at the time of creating the backup. For example, you can create a 2 of 3 fragmented backup. Keep 1 fragment in a safety deposit box, 1 in your home, and give 1 to your mom. If you forget your password for your Armory wallet, you can use any two fragments to get your bitcoins back. If your house catches fire, and you lose everything in it, you can recover your bitcoins with the 1 fragment in your safety deposit box, and 1 that your mom has. And, in case your mom is a dirty thief, she won't be able to steal your bitcoins.