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welcome Gerkin My only bit of advice about gardening is that you are there to break its back its not there to break yours so enjoy it and only start off growing what you will eat the rest will come later.
The front should be easy to break in from the look of it. As for the back, dig it over roughly and put early spuds in; either get them quick while they're still about or get them later for second cropping if it's going to take a while. You can put first earlies in up to midsummer and get a crop outdoors, as long as the blight keeps off. They swamp most of the weeds, and you get any survivors out as you lift the crop.
Welcome to the site, i'm only a few miles from you(just the other side of Gallows Corner) and have some spare black plastic if you want some to smother the weeds.As some of the others have said, take your time and enjoy.Neil