>Barbell curls
>hammer curls
>concentratration curls
>
>Would this be consider my first set? Would rest for a couple
>minutes then go to next set. Thanks.
If you do these one right after the other, you would be doing a "giant set" or "tri-set". That would be good for an endurance workout, but if you are going for strength, and it seems you are, it's best to do each exercise separately (the exception is giant sets that work different muscles, like a giant set of rear delt flyes, followed by lateral raises, then anterior raises, which focus on three different heads of the shoulder muscle).
Do your barbell curls, then rest long enough so you feel recuperated and are able to lift as heavy as you can for the next exercise. It's individual, but 60-90 seconds is good for moderate-to-somewhat heavy weight. (If you went really heavy, which most people can't do at home with really low reps, then you could go up to 3 minutes). On the unilateral (one-sided) moves, like concentration curls, you don't have to wait as long, because one side gets to recovery somewhat while the other side is working.
To make your workouts take less time, you can incorporate "active rests." If you work the biceps and the triceps in the same workout, for example, you can work two exercises back to back (one for biceps, follwed by one for triceps, the opposing muscle group), then take a shorter break than if you were going from one bicep exercise to another.