For either one of these achievements you'll need to have at least a level 3 Hacking Augmentaion. If you don't have this, do some of the other side missions to gain some Praxis upgrades or buy some from the LIMB clinic. The next job is to refer to the achievement 'The Desk Job' below. This way you can get inside and around the area without anyone going hostile.
Either choice does not matter here, but being the good boy I am, I handed the bracelet over to her mother. You'll be confronted by Ms Reed upon exiting Sarif Industries for the first time. She'll then hand you a side mission to try and find the truth behind all the goings on. When you come to the lock up behind the police station, make sure you hack the safe
Once you've done the mission, return to Ms Reed and make your save here. Now all you need to do is decide on what choices you want to make and follow the dialogue. Either give her the bracelet to unlock the 'Motherly Ties' achievement then reload your save and keep it for this one. Just do the opposite if you want to hand it back as your final choice instead of keeping it.