How many eggs are we talking? Web wallets are ok for pocket change, like a couple hundred LTC - max.

Also, consider that these wallets and their operators are MUCH more likely to be the target of hackers and ddos attacks than you are.

Just get a very strong, hard password (20 or more letters+numbers+symbols), and back up the wallet to 3-4 USB flash drives.

Maybe rename the wallet.dat file and place it amongst a bunch of other useless, similarly named files.

Keep one drive in safety deposit box, one at home, one with a friend, maybe one in your car.

And make sure you have a clean, new install of your OS when you back it up and make your password.