First up from Shibboleth we have the dilemma that apparently Press secretaries have to
C.J. Cregg: They sent me two turkeys. The most photo-friendly of the two gets a Presidential pardon and a full life at a children's zoo. The runner-up gets eaten.
President Josiah 'Jed' Bartlet: If the Oscars were like that, I'd watch.
Of course you can watch the fictional White House Press Secretary coming face to face with the two finalists for consideration here.
Then from the Indians in the Lobby Episode, we have these little incident of the President himself calling a help line for some advise regarding the cooking of a less fortunate bird that was to grave the first families table. The quote is on the site as well, but then you may as well watch that clip for full effect and the swift thinking of Director of Communications Toby Ziegler as he does his best to serve at grace of the President whose hasn't thought through the implications of calling a helpline from 1600 Pennsylvania Avenue.