ActionDirector is one of the most popular video editing apps on PC. It's also available on Android. It does the basics. You can import clips, edit them, and render the video. You can do things like add your own music, trim and cut video, add text, employ slow motion, and more. It's one of the few video editor apps that also supports 4K video. You'll have to check and see if your device supports it, though. The developers have a nifty tool linked in the Google Play Store to see if yours can. It also gets frequent updates.
There are more video editing software applications than we can fit into this roundup of the best options, which includes only software rated three stars and higher. The best known among them is probably Vegas Movie Studio, which was recently acquired by Magix from Sony. Sony's product used a very cluttered interface that more resembled high-end professional video editing software from the early days of the craft. Magix has made some progress in simplifying it and bringing it up to par with the competition, but more work is needed for it to be included here.
To help, you'll need to investigate different VPN offerings for those remote connections, and potentially work with your IT professional to implement quality of service (QoS) on your network that'll protect the bandwidth used by video conferences while they're happening. If you're already using a cloud PBX-based voice over IP (VoIP) system for your phone calls, your IT people will already have a good idea how to protect traffic this way as the requirements are very similiar.