I think we should build our first offworld backup on the Moon. We can start by storing seeds there, similar to the Svalbard seed vault in Norway. Within a few years we should have easy access to the Moon, and then it will be easy to do. The lunar caves are naturally at the right temperature. Add a vacuum sealed packet of dried seeds to a rover that explores a suitable lunar cave, and leave it there at the end of the mission, inside the rover, and that's it.That's the start of a future seed vault. From small beginnings ...
Elon Musk says there are two futures, to stay on Earth and eventually go extinct, or to become a "multi-planetary species". He says Mars is our "plan B". But there is a third possibility.