How do I put on a labcoat?
Wear two sets of gloves.  First, use nitrile gloves, not latex for this. 4mm or thicker is a specification I would recommend to avoid tearing.  Latex will bind too well to itself and tear easily with increased friction etc (same logic behind not using two condoms).  Also, use a coat with an elastic cuff on the sleeve.
So here's the breakdown


Put on first set of gloves
Put on coat over gloves.  Decon if needed for application.
Put on second set of gloves.
Science
Take off second set of gloves.
Decon as needed for your health
Take off coat
Take off first set of gloves


I can find sources for this, but I've been doing ABSL2 and BSL3 for a while, and they always go through this in safety training.

Edit: My internal nagging to site got the better of me, so some examples that recommend double gloving:

http://oehs.vcu.edu/chemical/labsafe/perchloricacid.pdf

https://extranet.fhcrc.org/EN/sections/ehs/hamm/chap3/section6.html

http://orsp.umich.edu/policies/um/committees/BRRC/ADDITIONAL_PRACTICES_revised_8_7_14.pdf

http://ehs.columbia.edu/carcmutguide.html

I could go on, but I think you get the idea.