In reply to mrgleb:
I agree with StevoS. Get some longer draws, plus you could also get 2 or 3 60cm slings and a couple of snap-gate carabiners and use these as runners (Super-log quick-draws). This would reduce rope drag well.
I would get a rope after, longer draws and runners are more useful when trad climbing than a new rope.
If you do want a new rope go for half ropes for trad climbing. A 10mm 50m is best suited for Sport or indoor climbing where as 2 8.5mm skinny 60m ropes would feel much better for trad.