How do you make a hide player name script that only hides local players name?

i'm assuming that you're talking about the client hiding everyone else's names. To do this first we need to turn on FilteringEnabled, then we will create a localscript to run on the client.

Inside the localscript we will use a for loop to run through each player and hide their nametag

for _,v in pairs(game.Players:GetChildren()) do
	v.HealthDisplayDistance=0
	v.NameDisplayDistance=0
end

Next let's add this to your script. I'm going to combine where you call the script and where its ran

local hid = false 
script.Parent.MouseButton1Click:connect(function()
	if hid == false then 
		game.Players.LocalPlayer.HealthDisplayDistance = 0 game.Players.LocalPlayer.NameDisplayDistance = 0 
		script.Parent.Text = "Hide Name" 
		hid = true 
	elseif hid == true then 
		game.Players.LocalPlayer.HealthDisplayDistance = 100 game.Players.LocalPlayer.NameDisplayDistance = 100 
		script.Parent.Text = "Show Name" 
		hid = false 
	end 
end)

Let' change the part where it hides the nametags

local hid = false 
script.Parent.MouseButton1Click:connect(function()
	if hid == false then 
		for _,v in pairs(game.Players:GetChildren()) do
			v.HealthDisplayDistance=0
			v.NameDisplayDistance=0
		end 
		script.Parent.Text = "Hide Name" 
		hid = true 
	elseif hid == true then 
		for _,v in pairs(game.Players:GetChildren()) do
			v.HealthDisplayDistance=100
			v.NameDisplayDistance=100
		end 
		script.Parent.Text = "Show Name" 
		hid = false 
	end 
end)

So remember, make sure filteringenabled is one and this is a localscript