These ones will cover all three wavelengths. They're made of solid metal.
More seriously: no, you can't get goggles that will cover all three wavelengths or that range or else you won't have any spectrum to see anything else. I've got goggles that cover green and some red and they are too hard to do much work with, so I had to buy other goggles instead.
I would get (or equivalent):
$80 - ARG - covers 532nm and below (445nm, 405nm, etc.)
$120 - RB2 - covers 615nm to about 700nm
You don't need those exact ones, or buy from that company, but those two will cover your major wavelengths. The ARGs are a nice pair for covering two of the three color ranges.
Yes, those two will work, but you'll need some mounts to ensure that they correctly line up. Maybe check Things' reference on this forum; there might be some article on that. You can also make a new thread asking how to do it.
TTL will simply be 7 colors (red, magenta, blue, cyan, green, yellow, white), and is pretty decent, and good practice for learning how to align and get an RGB projector working. After it's aligned, you can adjust the power of the lasers to achieve a better color mix.