I'm old school in thought but only started a couple of years ago-- still much to learn about tricky lighting situations...
GO SLOW is all I can say from my own experience.
First thing to know is that photography is all about LIGHT. Practice recognising light-- what sort of light is appealing, what time of day/what conditions do I find this sort of light. I often rush out of the house to capture extraordinary light even if the pictures are pathetic snapshots of... well, sky and nothing really. But the quality of the light is magical and one day when I see a great composition with that light I'll recognise it it straight away because I have a "database" of quality lighting... there's technically no-such-thing as bad light...
Second, but equally important "skill" to have is "seeing" in general; that'll do much more for your pictures than anything else. Unfortunately it gets hard to define "seeing"; there are conventions and using them often works well and good understanding of the compositional conventions is a boon. Study other photographs and artwork and look for why they are popular with many people.
Check out some photographers in your genre of interest. If it's landscape look up some famous landscape photographers and study their work. If its nature, likewise etc.
Oh, yeah, then there's all that techical mumbo-jumbo you can pick up reading a book over the weekend but really it doesn't have as much an impact as you'd think it would. Tons of books and webpages explain the technical side of exposure, focus, DOF and so forth. Playing around in the garden with your pets and flower macros will help you nail this stuff.
Understanding what you want to achieve is also an important focussing aid to get you started. Knowing what sort of pictures you want to take.
And practice... lots, all the time if you can. Good luck and have a blast-- it's an incredible journey.
--
Michael King
Who cares how you get the shot; just photograph it and photograph it well
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