Equivalent tomato products: paste, sauce, puree, diced, whole
You can get a decent idea just from nutrition labels. Tomatoes are the only ingredient, so pretty much all the numbers on the nutrition label are proportional to the amount of tomatoes in the can. Calories have the most granularity, so:


peeled whole tomatoes: 0.21 calories/gram
diced tomatoes: 0.21 calories/gram
tomato sauce: 0.33 calories/gram
crushed tomatoes (aka puree): 0.41 calories/gram
tomato paste: 0.91 calories/gram


No big surprises there; whole/diced tomatoes have plenty of water in the can, then sauce, crushed/puree, and paste are in order of thickness.

I'm sure it varies plenty by brand, but it doesn't sound like you need a lot of precision (it's not like the recipes specify a brand either), so hopefully that's good enough.

That said, I would probably focus more on just finding recipes you like. You can always adjust the amount of meat and other ingredients to suit your preference, no matter what recipe you start with, but a sauce made with diced tomatoes is never going to come out the same as one made with crushed tomatoes, even if it the same amount of raw tomato went into it.