I'm not sure what the different carries are called with a HAB (for some stupid reason they 'rename' all of the carries they suggest in a completely different way to the rest of the babywearing community, dunno why because it's not like they have any proprietory rights over how a SPOC - simple piece of cloth - wrap is used LOL. And that's all the HAB is - a SPOC with a pocket).

Anyway, most front carries are fine for breastfeeding in - just loosen the tails, lower baby into position, and retighten. The Forward Wrap Cross Carry (FWCC) and the Front Cross Carry (FCC) are both easy to feed in or any of the cradle carries. These are both poppable (ie: baby can be taken out without untying), especially FCC. With a long wrap it's a bit tricky doing a rebozo cradle carry because the tails are too long.

There are heaps of good utube vid tutorials, if you go onto thebabywearer they also have links to many of the better ones.

HTH!