Looks like a good basic plan. This should work. I enjoy DIY lighting. Most creative lighting involves innovation, even if you have all the toys
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If you are supplying all the light, color temperature shouldn't be much of a problem (and it never is with monochrome
). Generally, if you take a picture of something neutral in color you can use that for white balance.
If you want to be very precise, or if the light balance is tricky, a Macbeth color chart (such as found in the color checker passport) will get you dialed in, but this is overkill for most purposes.
When building your box, you might want to create a lip around the edges (you may note there is a black lip around the strip box in Tom's photo above), since this will make it easier to control the edge of the light. It will also offer you the option to add in a grid if you want even more directional control.
A strip soft box with a grid is an incredibly useful lighting tool because it lets you have a very controlled bit of "window light" you can place where you want it.
There is a fairly cool but overpriced (about $500 US) bit of kit called the Ice Light which works in a way that is surprisingly similar to a gridded strip soft box but is much more convenient to use. There are several Chinese knock-offs that can be had for closer to $100US or you can convert an even less expensive LED shop light (a tube shaped light made of several strips of LEDs) by adding diffusion material. The more you spend, the more likely you are to have controlled color temperature and to avoid flicker.
Why do I bring up these other options? If you like this type of controlled window light (which I do) and you want a way to use it which is far more portable and flexible, this can be a good option. It fits in smaller spaces, is easy to hand-hold and takes less of a stand to hold up or reposition.
I played with the shop light enough to see the value then got a MTL (Magic Tube Light), which can be had in many brands and configurations. I recommend they type with a replaceable battery of the Sony 550 style. Variable power settings in 10% settings and a tripod (1/4") mount on bottom. Mine even came with a wireless remote, tungsten (warming) tube and a case with shoulder strap. Very portable.
One above Horizontal for the original image posted. Two vertical for the image Tom posted. A simple lower powered light from camera with some diffusion material and you are good to go.
As Tom mentioned, strobes allow faster shutter speeds with low ISO. Lights that are too bright will annoy your subjects, so you will have to balance shutter speed and ISO to get your image with continuous lights.
Not a problem with portraits or still-lifes. How good are your Dogs at "hold still"?
I'd love to know how it works for you.