Do it.  If you get choked up, where better and for what better reason?

I didn't speak at my Grandmother's funeral, but the next Sunday I was giving the communion meditation at church. (You should understand, Gram had Parkinson's.  She really "wasn't there" for the last couple years. Death was a relief and a release for her) The hymn just before I was to speak had a phrase that hit me hard. It sounded just like her. Just one phrase, not even a full sentence.  I got up before the congregation and fell apart.  The folks who cared understood.

If you fall apart delivering your Grandmother's eulogy ... so what?  Anyone who matters will understand.