So, instead of the 'Expensive laser with IR filter and cheap goggles just for green' you go 'cheap laser with no IR filter and expensive goggles to block out IR'.
I wouldn't do it that way. I mean, the main product you're buying is the laser, so you may as well make that one the expensive one. And anyway, cheap lasers have more problems than just no IR filter. They are lower quality, lower outputs, and will break on you well before an expensive one will break.
Uh, you sure? That's ultraviolet, the beam would be invisible to the naked eye... I'm not sure if they even make systems that can go that wavelength range.
Are laser goggles all the same ie. they just get stronger stronger or do they protect against different types. Like my laser is 200nm but if i got a 632nm it would still protect?
protective eyewear is generally specific to a range of related wavelengths so you don't often find a set that will protect against 532nm and 650nm/635nm but they are out there. You need a broadband set to cover multiple wavelengths. They tend to be a bit more expensive but if you plan on having blue/green/red/IR you might invest in a broadband lens.
For UV (200nm), wouldn't sunglasses be sufficient? I'm not saying to use them, but I assume they would protect against the Sun's UV rays, but I'm not sure about focused UV.