IMO, both fingering techique (1FPF) and microshifting are worthy things to practice. Since you have large hands, do some stretching exercises with your fingers and get them accustomed to spreading out. You may not be able to span 4 frets in the beginning, but perhaps you can in the future after hours of practice and conditioning.
I have medium size hands and spread my fingers out as much as I can, but also do a lot of microshifting.
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