BMW Brake Caliper Guide Bushing Replacement

Tutorial on how to replace brake caliper guide bushings on most 80s, 90s and 00s BMW models. If you hear a metallic rattle or clunk over bumps with the brakes released, but not with the brakes pressed, it's likely that the caliper bushings need replacement.
BMW part no. 34110141338, I used ATE-260009 in this tutorial.
Applies to:
1981-1988 E28 5 Series
1982-1994 E30 3 Series
1990-1999 E31 8 Series
1986-1994 E32 7 Series
1987-1996 E34 5 Series
1990-2000 E36 3 Series
1995-2002 E36/7/8 Z3
1994-2001 E38 7 Series
1995-2004 E39 5 Series
1997-2006 E46 3 Series
2000-2003 E52 Z8
1999-2006 E53 X5
2003-2010 E60 5 Series
2003-2010 E63 6 Series
2001-2008 E65 7 Series
2008-2011 E71 X6
2003-2010 E83 X3
2002-2008 E85/E86 Z4
2004-2011 E90 3 Series
2002-2008 R50/R52/R53/R56 Mini