I am trying to get some more measurable results while training, and I would like to get a watch that can measure my pulse during workouts. I see that the market is HUGE for watches meant for this, but I am a bit lost. Here are some things that are relevant to finding a good watch for me:

• I have smallish wrists.
• I would like to wear it also while swimming or showering
• I need it to work really well independently of any phone, as I don't use iOS or any Android variant. This also means that the watch needs to be good at keeping the time without syncing with a phone.
• I need the watch to be privacy respecting. Even though I don't plan on using it with a phone at the moment, I do not wish to support a scummy company.

Do you have a favorite watch that could fit some of these points?