In the examples you gave, (2) is unambiguously the right choice, and sounds better than (1). English teachers have been warning against the use of "split infinitives" since time immemorial, but Americans do often place an adverb between "to" and the verb. Even Star Trek's catch phrase does this ... "to BOLDLY go where no man has gone before." The false controversy is that some old school grammarians think that English should be modeled after Latin, and since you can't put an adverb in the middle of a Latin verb in infinitive form, you shouldn't be able to do that in English either, so they say. However, English is a different language! So even though I *try* to avoid split infinitives, I will do it from time to time if it just sounds better.
For your particular example, it so happens that "still" modifies the verb "like," so "still" should be placed as closely to "like" as possible.