How to make part move smoother?

Use Renderstepped to update the camera

local torso = script.Parent.HumanoidRootPart

local center = Instance.new("Part")
center.CanCollide = false
center.Size = Vector3.new(1,1,1)
center.Parent = game.Workspace
center.Transparency = 1
local bp = Instance.new("BodyPosition")
bp.maxForce = Vector3.new(9e+100, 9e+100, 9e+100)
bp.P = 40000
bp.Parent = center

local camera = workspace.CurrentCamera
local player = game.Players.LocalPlayer

repeat wait() until player.Character
camera.CameraType = "Scriptable"

local bp2 = Instance.new("BodyPosition")
bp2.MaxForce = Vector3.new(9e+100, 9e+100, 9e+100)
bp2.P = 40000
bp2.Parent = camera

game:GetService("RunService").RenderStepped:Connect(function(dt)
    center.BodyPosition.position = torso.Position + Vector3.new(0,7,26)
    camera.CFrame = center.CFrame
end)

center:Destroy()

I do not know if this would work with your code, but this has always worked for me.

Try using a simple Lerp()

local movingPart = game.Workspace.Part
local end = game.Workspace.Part2

-- this loop moves the part by a percentage.  It will move 100% towards the ending part until it reaches the exact position.
for i = 0, 1, .1 do
    wait()
    movingPart.CFrame = movingPart.CFrame:Lerp(end.CFrame, i)
end

You might also try tweenservice, which smoothly moves the part and you can even select a style you want it to move.

local tweenservice = game:GetService("TweenService")
local part = game.Workspace.Part  -- this is the part you want to move
local end = game.Workspace.Part2 -- this is the part you want to move to

local tweeninfo = TweenInfo.new(3, Enum.EasingStyle.Linear, Enum.EasingDirection.Out, 0, false, 0) -- this modifies each aspect of how the part moves.  The total move time takes 3 seconds, moves in a linear fashion, does not repeat or reverse, and has no delay)

local partTween = tweenservice:Create(part, tweeninfo, end.Position):Play()

again, these may not work for your code, nor will they fit the context. But using these may give some ideas.

try learning about tweens