The question notes that you are learning American English. Let's focus on that. If anything differs from country to country, pronunciation is at the top of the list.
In America, there are multiple regional accents with the most common being "General American English", which is either identical to "Midwestern American English", or at least close to it.
In that dialect, the near-close near-front unrounded vowel /ɪ/ sound is the same in "kid", "still", "live", and "hit". It sounds the same.
However all bets are off, if you get into the Deep South, or a strong New Jersey accent, etc etc.
The IPA references from multiple dictionaries corroborate this answer, indicating the sound is /ɪ/.