Well i use a mixture of loads of different methods, but i generally follow particular steps in my approach to composing
first step~ concept.
as an aspiring film composer, having a concept is really important in my personal opinion. it gives me a straight-forward sense of direction in terms of where i want the composition to go, so when i compose i usually come up with a theme first.
Another method for using concepts is usually from my art or other artworks as well. i'd go to an art exhibition or just look at some really interesting concpet art and write music that expresses my own perspective of the work
Second step~ developing melodies
In terms of developing melodic ideas or just coming up with melody parts or sometimes even an entire piece, i usually do this mentally. i prefer to compose from my head because this method of composing doesn't limit you to your abilities on an instrument.
It also allows me to be a lot more creative, because i find that when you compose more with just using piano, not only are you limited to your skills as a pianist, but your ideas don't come as fluidly, and you tend to subconsciously steal ideas from stuff you learned how to play beforehand, unless you're already an extremely talented instrumentalist
Third step-Texture/Sound design
This is where the tech comes in. since my work includes loads of cinematic soundscapes, sound design, atmospheres and most importantly texture, when i'm done creating an a concept and a main melody, i work on sound design next. creating fitting textures, soundscapes, sweeps, effects and everything else that's needed for the piece sound design-wise
(sometimes i switch this step around with the second step)
Final step-Composing
Putting it all together, this is where all my equipment comes in hand, digital piano, midi keyboard, EWQl complete composers, kontakt, ableton, reason etc
I layer all the individual instruments over the recently created texture and develop my ideas from there
And voila! Tis done ;)