A quick explainer about the Mastodon like (called "favourite" - it's the star). It is a personal message to the writer of the post that you liked it, and it doesn't show on anyone's time line.

If you want to spread the post, that's the boost button. The equivalent of a Twitter like is to do both a favourite and a boost.

If you think this post is useful to you click "favourite". If you think it would be useful for others too, click "boost" as well.

Edited for accuracy.

@Naich something that I'm only just realising is that a lot of people on Twitter used the algorithmic timeline, and so got shown each others' likes, and instead of instantly disabling that stuff as soon as it was implemented.. didn't realise it was a thing they could disable. What you're describing is exactly how I've always used Twitter.
@iucounu @Naich Right, I never used the algorithmic timeline on twitter and had no idea that liking a tweet put it on follower's timelines. Mastodon works how I always thought Twitter worked.