Once the mission starts, find the security router to Bedbug's home. Break through his security layer and install a bug on Bedbug's phone. Once he leaves the house, follow him. Once he enters a vehicle, get in one too and start tailing him. Just remain enough distance to prevent him from being alerted. Be careful when tailing him inside restricted areas as well.
Once he leaves the vehicle, continue following him on foot. The area's restricted as well and the guards are armed too. You have to knock them out or kill them silently only if they hamper your progress or you're at the risk of being discovered. Use your phone to distract enemies as needed. Make sure you don't kill them when Bedbug's nearby or let any enemy see the bodies of your victims. That's why you have to prioritize roving patrol units. If you have a ctOS Scan item with you, it help using it since you'll know the enemy positions and line of sight.
When Bedbug reaches a tightly secured area, remain in cover and continue following him using the cameras nearby. Once he threatens Rabbit, hack the nearby junction box to blow it up. Next, find Rabbit and call him. Using the cameras, you have to guide Rabbit to escape the Viceroys. If the Viceroys see him, Rabbit will run away and drop his phone. Now you'll have to go in and retrieve it if that happens. Just make sure to switch between diffrent cameras and order Rabbit to move only when there are guards looking in his direction. You have to guide him safely to the objective marker. Once he's safe, leave the area to complete the mission.