Hi,
How you would translate "also" can vary depending on the previous sentence or what "also" is referring to. So could you give us the sentence before "I also like cooking," please?
What I am saying is;
Situation 1
Person A: I like cooking.
Person B: I also like cooking.→私も___
Situation 2
On weekends, I normally prefer to relax at home. But I also like cooking.→料理(をするの)も
Situation3
On weekends, I like to do so many activities; picnic, dancing, sports, etc. I also like cooking.→料理(をするの)も
Situation4
While I hate cooking, I also like cooking. →好きでもある
etc.