The best way to take on any of the hardmode bosses are with wings. They just move too quickly for rocket/spectre boots.
As for weaponry, don't bother taking on the twins with melee weapons, they'll just outdamage you. Typically you'll want something that's easy to hit with so you can focus more on dodging than aiming. Repeaters, CA rifle, or if you've beaten the Destroyer already, Megashark are ideal weapons in this regard, so long as you have plenty of ammo. Crystal storm and the laser rifle would be their caster counterparts, and neither require boss souls; though they eat up MP rather quickly so bringing a mana flower and plenty of MP pots is necessary to keep your attacks constant. Since these are all rapidfire weapons, jacking up your crit rate will do wonders.
The destroyer on the other hand, is quite susceptible to melee weapons, since you'll hit multiple times and swat away the probes which give hearts.
Personally, I find the Destroyer easier than the twins. So long as you don't let the probes become more than an annoyance and duck away when he goes into his laser firing sequence you should win with little problem. Destroyers drop souls of might, which are required for the Megashark, which you can turn against the twins for an easier battle.