This is one of my favourite swing dancing songs, it's dirty as hell if you
know '20s slang and it's super simple. I play this on the guitar and on the
ukelele - you only have to remember the chord patterns for each.

http://www.youtube.com/watch?v=tniL2N4294o

The key is to down-strum on all the even beats of the 8-counted bar
(ie. 2, 4, 6, 8) so in the first line & bar that'd be the word "like",
the pause after "pie", the word "like", the pause after "cake" and so on.
These guys leave off the very first strum of the whole song and hit the
second Db7 for effect, but you get the idea.

The chord progression is the same throughout the song:

Db7 Db F# (F#)
Db7 Bb7 Eb7 Ab7
Db7 Db F# (F#)
Db7 Ab7 Db7


           Db7    Db       (Db)   F#   (F#)   (F#)   (F#)
I like pie,    I like cake,    I like anything you make

   Db7               Bb7           Eb7            Ab7
I like your crackers too, crumbled up in chicken stew

    Db7           Db             F#
When I see your jelly rolls, then I loose my self control

       Db7             Ab7                  Db7
But of all these things I like you best the most.



That's it! If you listen to the clip above in YouTube you'll hear the
chords are actually a little more complex (there's some variation
to keep the song interesting) but these are root chords and will get
you through in tune!