 Recent experiments have demonstrated direct cooling and trapping of diatomic and triatomic molecules in magneto-optical traps, marts, but the density is still too small compared to typical atomic marts. To overcome this limitation, we propose methods to reduce the three main obstacles, slowing down the molecules, capturing them at lower velocities and preventing sub-doppler heating. These techniques could lead to higher densities and better cooling of molecules in marts, which would enable further studies of quantum degeneracy and other phenomena. This article was authored by T. K. Langin and D. DeMille.