You can store your bitcoins online (in multiple places for redundancy) in encrypted file you never decrypt. You can still send new bitcoins to that wallet.

When you finally do need to withdraw some bitcoins you just set up clean linux system, download the file, decrypt it, make a transfer, encrypt it again and upload (if you don't withdraw often you can skip that because such offline wallet (at least the one generated by bitcoin core client) can handle few dozens outgoing transfers before you need to update it).

Then you don't have to worry about burglars, fires or hackers. You just need to worry about remembering your password. And about the portion of bitcoins you keep elsewhere to pay for things or trade.