I am part of another firm that where we split our stacks, React/Django and Vue/Laravel. While I am in charge of the React/Django, my co-founder who uses the Vue/Laravel stack swears by Vue. I would urge that you look at using Vue since you are asking to add it to an existing Laravel Project. The learning curve is lower than that of React in my own experience.
Vue js or react js for laravel (laracasts.com)
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