My thoughts on the coverage (having mostly watched BBC) is:
Each day, they start the overnight coverage at about midnight with JJ Chalmers,
Then they move to "Olympic Breakfast" from 6-9am presented by Dan Walker and Sam Quek.
After that, they move to a show presented by Hazel Irvine, until 3pm when the live action has stopped and there is a review program presented by Jason Mohammed, and there are other highlight programs in the day.
The overnight programme is good, with Chalmers a very good presenter, who usually lets the experts in the sport do most of the talking, which is a good idea. Hazel Irvine is obviously someone that I don't have a bad word to say about either, who talks a bit more but is knowledgable enough to do so. The main problem for me is the "Olympic Breakfast" programme, which mainly focuses on medals Britain won overnight, and will only show live coverage if there is a British medal chance. The presenters are also too informal (this is a problem in general, but in the Breakfast programme particularly), forgetting the Olympics is elite sport and treating it like a sports day in primary school. Interviews with a British medallist's family are a common annoyance on this programme.
That said, the analysts and commentators have been in general very good. Lutalo Muhammad on Taekwondo was excellent, and Mark Foster is a great voice for swimming. In general, when people who know their sport are talking, it's good. When Dan Walker reveals that his kids have been "loving the gymnastics", less so.
The BBC has two streams, BBC One as I have described above, and the "Red Button", which is pure sport with no analysis, generally avoiding having the same thing on both. This means it's a lottery whether you can actually watch what you want to, because the BBC utterly refuse to show more than two events at once at all times.
A lot of people have complained about Eurosport, but I can only say I have had no problem with them. For me, they have been excellent when I've wanted to watch an archery or judo match that the BBC think isn't 'important enough' to show. Even when the BBC had 100% coverage, they wouldn't show every apparatus, or every judo mat - I'm pretty sure this was an oversight. So now we have complete, 100%, uninterrupted OBS coverage - excepting the Archery Ranking Round and Shooting qualifiers - complete with no ads, and no interviews with Adam Peaty's family. I should note that the channel choices seem deliberately bad to me as well, but I don't really mind paying for one month of Eurosport Player to watch the Olympic Games, considering that Sky Sports costs more than five times the same