I'd second 5/3/1. It is a set of principles that applies to nearly every unique goal and schedule limitation, provided the trainee wants to get better.
Just going up in weight as time goes on is haphazard at best, especially if strength is a goal. I trained this way for quite some time, but never progressed weight wise.
Built in Progression would be something like 5/3/1 that uses a TM (Training Max), which is 80-90% of your one rep max. The TM becomes the basis for all your workouts. Using a percentage of the TM, you progress through 5, 3 and 1 rep maxes.
The reason I asked about specific lifts is because an increase in Squat, Bench, Deadlift or OHP is a much better metric for measuring strength increases.. also, no one asks "How much do you face pull, bro?"