Here is how I play the rhythm part of LaGrange. Our other guitarist does
the lead, so I've never bothered to learn it (and therefore haven't
included it :-)
 

Picking style is key to the percussive sound of this piece. Under
each section I have placed the following symbols:
 
 ^ indicates picking with an upward motion
 v indicates picking with a downward motion
 
With a little practice, you can get a smooth up/down pattern esatblished,
and it stays the same throughout the song.

(clean sound)
-------------------------------------------|
-------------------------------------------|
-------2--2--2--2--2--|.-2----2----2-4--2--2--2--2--2-.|
----2--2--2--2--2--2--|.-2-2--2-4--2-2--2--2--2--2--2-.|
----0-----------------|----0----0----------------------|
-------------------------------------------|
    v  ^  ^  ^  ^  ^     ^ v  ^ v  ^ v  ^  ^  ^  ^  ^
 
During the first verse, keep repeating the section above between |: and :|
occasionally playing it this way to emphasize the words:
 
-----------------------------------
-----------------------------------
---2----2----2----2--2--2--2--2----
---2----2----2-2--2--2--2--2--2----
-----3----5----0-------------------
-----------------------------------
   ^ v  ^ v  ^ v  ^  ^  ^  ^  ^
 
Then after 'They got a lot o' nice girls' comes the break. Resume playing
the same as above with heavy distortion:
 
-------------------------------------------|
-------------------------------------------|
-------2--2--2--2--2--|.-2----2----2----2--2--2--2--2-.|
----2--2--2--2--2--2--|.-2----2----2-2--2--2--2--2--2-.|
----0-----------------|----3----5----0-----------------|
-------------------------------------------|
    v  ^  ^  ^  ^  ^     ^ v  ^ v  ^ v  ^  ^  ^  ^  ^
 
Keep repeating the part in between |: :| during the second verse, then
after 'I might be mistaken', switch to:
 

------------------------------------------------------------|
------------------------------------------------------------|
----------------------------|.-----8--8-10--10-------------------------.|
----10-10--10--10--10--10---|.--10-8--8-10--10-10--10--10--10--10--10--.|
----10-10--10--10--10--10---|---10-------------10--10--10--10--10--10---|
------------------------------------------------------------|
    v  ^   ^   ^   ^   ^        ^  v  ^ v   ^  v   ^   ^   ^   ^   ^
 
Then, during the guitar solo, keep playing the above section between |: :|
When the solo comes to an end, this is the pattern and the break:
 
------------------------------------------
------------------------------------------
---------------------------------8--8-10--
----10-10--10--10--10--10-----10-8--8-10--
----10-10--10--10--10--10-----10----------
------------------------------------------
    v  ^   ^   ^   ^   ^      ^  v  ^ v
 
|-------5---5---5-----5---5---5-----5---5---5----------------|
-------------------------------------------------|
|.--------------------------------------------------------2-.|
|.--4/5---5---5---3/4---4---4---2/3---3---3---------------2-.|
------------------------------------0--0--3h4----|
-------------------------------------------------|
(I usually play the D string with my pick and the E string with
   my middle finger. You can, of course, play both with your pick)
 

Repeat the break between |: and :| twice, then go back to the
clean part (same as the very first section). Play it 4 times,
hit the distortion, and play the same as the first verse until the fade...