An ironing board is built into a kitchen drawer that is 40 cm wide. Pulling out the ironing board requires some effort.
Remember to plan for an electrical outlet on the wall near the ironing board.
In Sweden for example barahandtag.se (last checked July 2020).
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Ikea, ikea.com sells also a table ironing board (modell ‘Jäll’) which is much cheaper (last checked July 2020).