The Apple Watch is very good at tracking cardio and surprisingly limited in the gym. For most people the answer is Apple’s own Workout app for what it does well, plus a logging app for the rest.
It’s free, it’s already on your wrist, and it measures these well:
If you mostly do cardio, you may not need anything else.
Choose a strength workout and it records time, heart rate and estimated calories. It doesn’t record which exercises you did, the weight, your sets and reps, or your rest between sets. Those are the numbers that show whether you’re getting stronger, so for lifting it’s only a heart-rate recorder. What a training log should hold.
Plenty of logging apps have a Watch app. Test them against these before you commit:
Don’t run two workout apps at once. The Watch runs one workout session at a time, so starting a second can end the first, and you might double-count the session in Health.
Hevy and Strong, two of the best-known lifting loggers, both have Apple Watch apps, according to their App Store listings (Forge vs Hevy, Forge vs Strong). I make Forge, so weigh that. Forge’s Watch app is part of Forge Black, the optional paid tier. It lets you log weight, reps and rest by turning the crown, shows the exercise’s form video on the wrist, and records runs with pace and splits. Try a couple for a week each and keep the one you actually use mid-set.
With Forge Black you log weight, reps and rest from your Apple Watch and see the form video without picking up your phone. Free to download.
Apple's built-in Workout app records time, heart rate and calorie estimates for strength workouts. It doesn't record the exercises, the weight, or your sets and reps. For that you need a logging app with a Watch app.
Generally yes, if the app runs a proper workout session on the Watch and saves it to Apple Health. If a workout isn't showing up, check the app's Health permissions.
It depends on the app. Some Watch apps work fully without the phone nearby, and others mirror a workout the phone is running. Check before you rely on it.
Treat them as rough estimates. Wrist heart rate can lag during short, hard efforts, and calorie estimates for strength work are less reliable than for steady cardio.