Is it better to paint over the wallpaper, strip it or just put new wallpaper over the old?

We're buying a home built in 1951. Three of the rooms have wallpaper and we're trying to DIY as much as we can. We're unsure whether we should paint over the wallpaper, strip it then paint or put new wallpaper up instead. Our dilemma stems from not knowing the condition of the drywall behind the... show more We're buying a home built in 1951. Three of the rooms have wallpaper and we're trying to DIY as much as we can. We're unsure whether we should paint over the wallpaper, strip it then paint or put new wallpaper up instead.

Our dilemma stems from not knowing the condition of the drywall behind the wallpaper if we strip it. With the house being over 60 years old we don't want to start tearing stuff off and it destroy the walls.

Any help or ideas would be greatly appreciated!
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