As Tim suggests, it's best to hire a pool contractor to construct a pool but you may wish to check with your town's building department to determine the setback allowances from the property lines and the cost of permits. Most towns have regulations on how close you can build from your property lines. This may affect the size of pool you can build depending on your lot size.
Many towns have ordinances in place regarding fencing around the pool for safety. This might also help in keeping your yard more private which you stated as your preference. Planting tall shrubbery can also keep the pool area more private.
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