Here is the starting point recipe:
Everything -- camera and strobe -- are on manual.
1. Use as low an ISO as conditions allow. This likely will be 100-400.
2. Use f/5.6 for point and shoots, f/8 for m43, f/11 for 1-inch sensors, f/16 for full frame. Smaller f-stops risk diffraction effects. Go one f-stop smaller if you must, for depth-of-field.
3. Use a shutter speed that exposes the water for your desired background color...light blue, dark blue, black, your choice. You may be limited in how fast your shutter will sync with your strobe.
4. Adjust the strobe power and position so your foreground is exposed correctly.
This is not hard, and for different subjects at similar depths requires only adjusting the strobe power.
Why not use some automatic mode on your camera, like A or P or whatever your system calls it? Because that mode is not designed for underwater shooting, and will attempt to expose the scene using ambient light, which causes two undesirable things to happen: (1) the camera will likely choose a slow shutter speed and/or a high ISO, because it is pretty dark own there. The former gives you motion blur, the latter gives you a noisy picture (today's equivalent of the old grainy pictures). (2) When your stobe fires, it adds light on top of the ambient-light exposure, so you get an oveexposed result, all blown out.