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Holography has been one of the most promising approaches to study quantum gravity and led to numerous important discoveries that revolutionized our understanding of quantum gravity, Yet, it is still a major challenge to extend the holographic princi-ple beyond Anti-de Sitter space. Building a model of holography for de Sitter space can be a crucial step towards a theory of quantum gravity consistent with the ob-served accelerated expansion of the universe. In this thesis, we explore a proposal for holographic construction of three-dimensional de Sitter space, which uses the ir-relevant TT deformation and its generalizations TT, A2 and OO. We will first go through a trajectory of the solvable TT + A2 deformation and define a boundary dual that captures universal aspects of the duality. Then, we explain an algorithm to properly incorporate the OO operator into the trajectory of deformations and il-lustrate a detailed trajectory that builds a boundary dual that can capture further model-dependent details of the duality. In the last chapter, we study how entan-glement spreads in finite-cutoff three-dimensional spacetimes with positive, negative and zero cosmological constants and describe the spread of entanglement with the entanglement tsunami interpretation.