I found the official app very advert heavy
You can choose the 'Following' section to just see tweets in order of latest first from those you follow. The algorithm stuff if awful, endless spam or alerting you off news from 2/3 days back. Biggest annoyance is that the algorithm page is always the default and I don't think you can change it.
You can create lists of specific accounts though and just browse those, I have one for football that I just read when I don't want to see anything else.