I recommend pulling your hair up so the bangs don't fall on your forehead.

Literal

Front-hair [subject-が], forehead [target-に] fall-not [purpose-ように] hair [object-を] raise [nominalizer-こと] [object-を] recommend [polite-ます].

A how-to-style recommendation. ~ように ('so that, in such a way as to') marks purpose. The negative form かからないように = 'so (it) doesn't fall/catch on.' こと nominalizes the recommended action so it can be the object of おすすめする ('to recommend'). 前髪 ('bangs, fringe,' literally 'front hair') and おでこ (casual word for 'forehead,' more formal 額).