How do I make a Humanoid Touch function work in LocalScript in PlayerScripts?

I have a local script in player scripts which makes parts fall, then respawn after a cool-down.

This script worked fine in starter character scripts except that it wouldn't respawn parts when the player died before it respawned. I figured out this is because it is deleted when the character dies so I put it in starter player scripts.

The problem is that I can't figure out how to get the player's humanoid it needs in order to detect when the player touches a falling part, make it fall, and respawn.

How do I find the humanoid of the player, and how do I make sure it still works when the player respawns with a new character and humanoid?

Here is the entire script in case it helps with the problem:

local character = script.Parent 

local humanoid = character:WaitForChild("Humanoid")

--Tweak these
local delay = 0.5
local respawntime = 5
local appeartime = 0.3

--Maybe tweak these
local falldistance = -10
local acceleration = -30

local TweenService = game:GetService("TweenService")

local time = math.sqrt(2 * falldistance/acceleration)

local triggeredParts = {}

local touchedConnection = humanoid.Touched:Connect(function(Part, limb)
	if Part.Name ~= "FallingPartTest" then
		return
	end
	
	--if falling part is in list don't run	
	for i, fallingpart in pairs(triggeredParts) do
		if Part == fallingpart then
			return
		end
	end
	
	local falltweeninfo = TweenInfo.new(
		time, --time for animation
		Enum.EasingStyle.Exponential, --Style of tween
		Enum.EasingDirection.In, --Direction of tween
		0, --Repeat times
		false, --Repeat?
		0 --Delay between repeats
	)

	local transparencytweeninfo = TweenInfo.new(
		time,
		Enum.EasingStyle.Exponential,
		Enum.EasingDirection.In,
		0,
		false,
		0
	)

	local respawntweeninfo = TweenInfo.new(
		appeartime,
		Enum.EasingStyle.Linear,
		Enum.EasingDirection.In,
		0,
		false,
		0
	)

	local TweenPartFall = TweenService:Create(Part, falltweeninfo, {CFrame = Part.CFrame * CFrame.new(0,falldistance,0)})
	local TweenPartTransparency = TweenService:Create(Part, transparencytweeninfo, {Transparency = 1})
	local TweenPartRespawn = TweenService:Create(Part, respawntweeninfo, {Transparency = 0})

	local Origin = Part.CFrame
	
	--add part to triggered list
	table.insert(triggeredParts, Part)
	
	wait(delay)
	Part.CanCollide = false
	TweenPartFall:Play()
	TweenPartTransparency:Play()
	wait(respawntime)
	Part.CFrame = Origin
	TweenPartRespawn:Play()
	Part.CanCollide = true
	
	--find and remove part from triggered list
	for i, fallingpart in pairs(triggeredParts) do
		if Part == fallingpart then
			table.remove(triggeredParts, i)
		end
	end
end)

Update: I got it working. Please tell me if this script has any problems. I'd like to make my scripts as best I can.

local Players = game:GetService("Players")
local player = Players.LocalPlayer

player.CharacterAdded:Connect(function(character)
	local humanoid = character:WaitForChild("Humanoid")
	
	--Tweak these
	local delay = 0.5
	local respawntime = 5
	local appeartime = 0.3

	--Maybe tweak these
	local falldistance = -10
	local acceleration = -30

	local TweenService = game:GetService("TweenService")

	local time = math.sqrt(2 * falldistance/acceleration)

	local triggeredParts = {}

	local touchedConnection = humanoid.Touched:Connect(function(Part, limb)
		if Part.Name ~= "FallingPartTest" then
			return
		end
		
		--if falling part is in list don't run	
		for i, fallingpart in pairs(triggeredParts) do
			if Part == fallingpart then
				return
			end
		end
		
		local falltweeninfo = TweenInfo.new(
			time, --time for animation
			Enum.EasingStyle.Exponential, --Style of tween
			Enum.EasingDirection.In, --Direction of tween
			0, --Repeat times
			false, --Repeat?
			0 --Delay between repeats
		)

		local transparencytweeninfo = TweenInfo.new(
			time,
			Enum.EasingStyle.Exponential,
			Enum.EasingDirection.In,
			0,
			false,
			0
		)

		local respawntweeninfo = TweenInfo.new(
			appeartime,
			Enum.EasingStyle.Linear,
			Enum.EasingDirection.In,
			0,
			false,
			0
		)

		local TweenPartFall = TweenService:Create(Part, falltweeninfo, {CFrame = Part.CFrame * CFrame.new(0,falldistance,0)})
		local TweenPartTransparency = TweenService:Create(Part, transparencytweeninfo, {Transparency = 1})
		local TweenPartRespawn = TweenService:Create(Part, respawntweeninfo, {Transparency = 0})

		local Origin = Part.CFrame
		
		--add part to triggered list
		table.insert(triggeredParts, Part)
		
		wait(delay)
		Part.CanCollide = false
		TweenPartFall:Play()
		TweenPartTransparency:Play()
		wait(respawntime)
		Part.CFrame = Origin
		TweenPartRespawn:Play()
		Part.CanCollide = true
		
		--find and remove part from triggered list
		for i, fallingpart in pairs(triggeredParts) do
			if Part == fallingpart then
				table.remove(triggeredParts, i)
			end
		end
	end)
end)