Bend component leads if they are long enough to reach another component.
Just use the strips themselves for low-current signals.
Use the strips but run a bare (thick) wire as well and solder it all along the strip for high-current.
Use wire for any connections that don't fit the above.
BTW, the best way to cut strips is a 1/8th" bit in a pin vice. Just drill enough to cut the track.
Rob