なけなしの糧 is a poetic phrase meaning “the little sustenance one has” or “one’s meager provisions.” なけなし describes something scarce or nearly all that remains, while 糧 means nourishment, provisions, or figuratively the support needed to keep going.
In the song, the travelers clutch their bare essentials and run forward toward the future. This vivid expression gives the journey a sense of hardship, determination, and hope.
"D.C." by m.o.v.e is a sunrise song. It opens with the sun climbing as if it were tracing an outline, "輪郭を描くように昇る陽が" (the sun rising as if drawing an outline), warming the night but also making new shadows. Then comes the sharp question at its centre: "失うことでしか気づけない" (we only notice by losing), so what do we have to do to protect what matters? It's a big question for a song this upbeat, and I like that it doesn't pretend to have a neat answer.
The answer it does give is a little extreme. "言葉は捨ててもいい" (I can throw away words) and "身体もこの眼もなくしてもいい" (I can even lose this body and these eyes), as long as a heart that can hold "キミ" (you) is left. After that the song keeps returning to fabric: the future is "純白のシルク" (pure white silk), and "今日をつないで 未来を織り上げて" (linking today, weaving the future). There's a nice detail in "今夜も XII を過ぎた頃" (tonight too, around the time past XII): those are Roman numerals, a clock face striking midnight.
Worth learning: "なけなしの糧" means "the little food we've got", the bare scraps you run with, and "さあ出るんだ" (come on, step out) is a handy casual push to get someone moving. By the end, "希望が現実に変わる" (hope turns into reality), and you can hear it getting closer.