Joshuya and Sansui in the Shibuya district are a couple of my favourites. But it’s at least a good 45 mins from Haneda airport. You could take public transit there but beware it’s an underground maze but it can get you anywhere. It’s also operated by several subway companies so you may have to take a different line and pay a different fare. Getting around can be an overwhelming, one look at the subway maps and you’ll see. Google translate and Google maps were used heavily the few times I’ve been there. Locals are super helpful and friendly though.
As for prices, it’s really not significantly cheaper as one would think. The selection is amazing though and I always spend hours wandering while my wife and kids rest their feet.