I wouldn't ask anyone by name as that really is quite pressurising for the person. But I have chosen my own readings and hymns and music. That helps those who are left from wondering what you would have wanted.
As Absent says giving a eulogy is much harder and if you are asked, or choose to do it, and the person was close to you, you need to rehearse well so that you can deliver the words with authority and presence. It's very hard.
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