Like is one of those verbs that can be followed by either the infinitive or the gerund and usually there is no difference in meaning. There are grammarians who argue that one or the other is more common or preferable in some contexts but other grammarians say that there is no evidence to support that view. In your example, if one were to think of the activity as a hobby , the gerund would be the natural choice.
New words, one handy idiom, and a 2-minute quiz — delivered to your inbox to keep your streak alive.