Fruit trees

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We would like to plant some fruit trees along one of the walls in our garden, that over time will create a natural screen from the neighbour's backyard. We had a look at some fruit trees at the garden centre this afternoon, and I suddenly realized how little I know about trees in general.

How do we make sure that they will be pollinated and can bear fruit? Do we need multiple trees of the same type or do they cross-pollinate? How large do they get? What type of fruit would we like to grow? And so on. I guess I have some research to do before we start buying trees.