OK. Definitely 5/3/1 is a good option.
What I've found for myself is that front squat and snatch grip DL will go up if your squat and DL go up - even if your squat doesn't look too much like a front squat and even if you DL sumo or semi sumo for a while. Chins go up when you lose weight. Push press is more technical, I think, but I suspect it'll go up if your press goes up. It might be different for you, of course.
Either way, you'd probably do well spending some time bringing other lifts up as well, or least considering an approach that includes doing that.
Out of interest what is your age, height, weight, numbers and time spent training?