Since you're off of the Great Plateau, my main recommendation would be to complete the Divine Beast Vah Ruta which I believe the game leads you to first. This will make subsequent visits to the area significantly easier for reasons and things. Since Nintendo patched the infinite arrows glitch (I never got the chance to take advantage of this), running up Zora River after every Blood Moon can net you a good amount of arrows.
If you're a completionist or at least want to complete the bestiary, try to find the blue colored enemies before defeating more than two Divine Beasts. Certain enemies are replaced by higher level enemies as you progress through the story. Lynels kept kicking my **** in so I mostly avoided them thus I missed the Blue Lynels before they were replaced with Silver Lynels. There is one Blue Lynel that is never replaced, but the area it's in makes it kind of annoying to fight it.
Otherwise, I don't want to say too much as it may spoil some things. For non-spoilery things:
- I upgraded Stamina before Hearts. For all the climbing, it just made more sense to me.
- Don't sell Ancient Cores.
- If you need Rupees, cook food then sell it. Food is the easiest thing to replace.
There is a good sword that's easy to obtain and respawns after every Blood Moon. If you want to know, I can tell you where it is. I will leave that up to you.