You're in a risky setup with those tents side-by-side, pretty well impossible to control pollen flow in your current setup. That stuff flies and travels, you'd likely pollenate the other tent with them being so close together. Any chance you can do a temp move/setup for the male flowering? If they're showing flowers now, you'll only need 2-3 weeks to get them to the point of collection. Males typically will flower fast but that 2-3 weeks is critical that you keep the pollen under control.
As far as collection, there are as many methods as there are people in here flowering males. I wait for them to be ripe and keep the fans low and away from direct airflow as much as possible. You're not worried about the long term health of the plant, you just need to get them to the state where they mature and collect the pollen so it's not a big deal worrying about mold or the like with low airflow. When they're mature enough for the sacs to start opening, I shut off the fans altogether until I get a chance to collect. I've been cutting off the most mature/ready male tops, easy does it and careful here as the pollen will fly if you bump them at all. I cut the tops and let them fall straight into a large freezer bag. Once I'm done with that, I take them where I don't have to worry about loose pollen flying around, usually the garage. Then shake/break the sacs and let the pollen drop to the bottom of the bag, I usually get some small plant matter mixed in but I don't worry about leaving a little in there. Once that's done, I mix in flour with the pollen, about a 5:1 flour/pollen mix. Leave the bag open so any moisture can escape and throw it in the fridge. Open and shake daily for a few days to release all moisture (flour sucks it up for the most part). After about a week if I'm not ready to pollinate I throw the bag (sealed) into a mason jar filled with rice, then throw that into the freezer. I've successfully pollinated with the bag just in the fridge for a couple of weeks, any longer and I freeze it. Just used some 3 month old frozen pollen and looks like it took, the pollinated JTR branches I'm about to pull are sagging to the floor if not supported, pretty sure they's a ton of seeds on there. Will know for sure in a couple of weeks but I've done 2 other runs in the last 6 months and all generated some nice seeds. Once you've collected pollen you can pull the plants and carefully bag them to dispose of them and keep any remaining pollen from flying around. Cheers, hope you can find a spot to flower out at least one male