Which crank puller tool?

I have the creaky/clicking bottom bracket problem. I’m going to investigate it myself (first time) to see if it needs a clean or replacing. Little bit confused as to the specific tools I need, especially which crank puller? I think I need these products;

Park Tool BBT-22 Bottom Bracket 20-Tooth Splines Tool.

32mm wrench to be used in conjunction with the above.

Crank puller, not sure which of these two and what’s the difference?
Park Tool CCP-44 Crank Puller For Pipe Billet Spindles Tool
Or
Park Tool CCP-2.2 Cotterless Crank Puller Tool
I have a 2007 Claud Butler Levante, sport commuter.
Thanks in advance.

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