Asbestos Abatement: DIY Bathroom Demo

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New Chicago house hacker here, moving in and starting with a bathroom gut in my own unit. Doing as much of the work myself as I can. My 3-flat was built in 1905 and "rehabbed" in 2006. Should I get my materials tested for asbestos prior to demo? (tile, cement sheets, tar paper subfloor) Not sure exactly what's hiding beneath. 

If yes, I would appreciate any referrals in my PMs. I understand this question is more suited to a construction audience, but thought I'd give it a swing here first. Any prior experiences with Chicagoland asbestos are appreciated. I know it's found commonly on insulated pipes in the multifamilies. 

Thanks, 
Jack