I have made MANY CloD videos over the years. This one for example was made in 2016 and I think it's some of my best work. There are many more on my channel.
My workflow is essentially as follows:
1. Fly the mission and record an ingame track file. Mysticpuma mentions that this is bugged but for me 95% of the time it works great - some issues are ship locations sometimes not working properly, jittery aircraft, and once I had bombs staying visible after they had dropped. But usually it works very well.
2. I use OBS to record my screen while watching the track. I turn on the recording, then as I watch the track, I pause frequently to change views and set up my next camera shot. I will often go through the track file and record multiple times to get the shots I want, since there is no rewind function.
3. Now I have a video file (or multiple) that has short bits of the track playing from the view I chose, and lots of paused moments where I am changing view. I load this file into my video editor of choice (in my case Adobe Premiere - this is a rather premium option but there are other options for cheap or free, I suggest DaVinci Resolve for an amazing free option). I cut out all the silent paused sections of video and then connect all the remaining footage. At this point I'll have a rough cut of all the shots I took, in order.
Here though is where you let your creative side shine, I will delete and trim a lot of my clips and match the edit to follow the intensity of whatever music I've chosen. I will also crop or adjust some clips, play around with the audio, add in any extra effects or voice lines, etc. This is very time consuming but it is where your video will go from being a collection of shots into something you can really be proud of.
If you watch the video I posted above, I needed 4 different track files - one of the initial german bomber attack, 2 of the Blenheim raid (one had an additional Blenheim flown by a 2nd pilot that was used as a flying camera, then one with only one Blenheim for other external shots where you wouldn't want another plane to be seen), and a final track of the Blenheim returning home. I had set up a multiplayer server and had 2 other pilots helping me by flying the other planes. Then I recorded shots from all those tracks and did the edit, and tracked in the voice lines.
I made another movie (Boomer Blitz, on my channel) that had live TeamSpeak audio in the background - however, the teamspeak recording was about an hour long and the video ended up being just ~5 minutes or so, I had to pick and choose bits from the live audio that best matched with the movie I'd made from the edited tracks.
One thing to remember is that it takes a long time - I easily spend 2-3 or more hours per each minute of the final product on a video like these. But just keep at it and you'll be surprised at how fun it is. I make these videos for fun, not for views or comments, those are just a bonus.
Sorry this got a bit lengthy but there are so many possibilities when it comes to making movies in this sim. I hope I did a decent job of explaining my workflow. Good luck and I can't wait to see what you end up producing!