Microfiber chenille mitts (I also never put my hand inside) seem to work best on most types of dirt. If you're finding them grabby on thick winter dirt you may need to adjust your cleaning regimen. An electric pressure washer should remove most of the above-surface dirt, but if you don't have access to one (or can't use it during winter) consider doing a pre-soak with a rinseless wash solution like Optimum No-Rinse Wash & Shine or Meguiar's D114 Rinse Free Express Wash using a houseplant sprayer.
FWIW, I've been trying all the popular rinseless wash methods this winter; depending on the type and amount of dirt, I've found the best overall method for simple maintenance washes on our daily drivers to be a pre-soak with 1:32 D114 followed by a 1:128 D114 RW using the two bucket method and warm water. I use two Lowes grout sponges, leaving one in the rinse bucket while using the other.