We like the Line Tamer type thing for in the boat. Saves stepping on the line and keeps the line under better control, as mentioned, and is really beneficial in the wind.
When we're night fishing from shore, and we remember, we like a side "basket". Otherwise we hold loops in our hand. Same for daylight.
We used to hold coils of line in our teeth for steelheading. Well now with the pollution and all.....oh yeah!....and NOW with false teeth!......we choose that option less and less.