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High quality squeezed light is an important resource for a variety ofapplications. Multiple methods for generating squeezed light are known, havingbeen demonstrated theoretically and experimentally. However, the effectivenessof these methods -- in particular, the inherent limitations to the signals thatcan be produced -- has received little consideration. Here we present acomparative theoretical analysis for generating a highly-displacedhigh-brightness squeezed light from a linear optical method -- a beam-splittermixing a squeezed vacuum and a strong coherent state -- and parametricamplification methods including an optical parametric oscillator, an opticalparametric amplifier, and a dissipative optomechanical squeezer seeded withcoherent states. We show that the quality of highly-displaced high-brightnesssqueeze states that can be generated using these methods is limited on afundamental level by the physical mechanism utilized; across all methods thereare significant tradeoffs between brightness, squeezing, and overalluncertainty. We explore the nature and extent of these tradeoffs specific toeach mechanism and identify the optimal operation modes for each, and providean argument for why this type of tradeoff is unavoidable for parametricamplifier type squeezers.

Fundamental limits to the generation of highly displaced bright squeezed light using linear optics and parametric amplifiers