What you're describing is typical. You'll get soreness in all muscles, if you're using the most effective exercisess for each that work for you.
Best thing for the first 1-2 workouts is not to do a full routine, rather do half the number of sets and just go close to failure-no cheats or forced reps. You'll still be sore but it won't be as bad.
For the second workout for the same muscle, wait until all soreness is gone to return to training, however many days that takes.
After that you should still get mild soreness by choosing effective exercises and adding forced reps, partials, rest-pause reps, cheats or negatives. In other words, use exercises you respond to and then work very hard, to failure and sometimes to beyond failure.
Also you can switch exercises from time to time, change the order you do them, do supersets, or tri-sets, etc.