I have been to B&H, but not to Adorama, although I have shopped at both stores for a few decades.
Depending on what your needs/expectations are, I would choose B&H for 2 reasons. It's much larger and therefore has a huge amount of goodies on display. Secondly, they have a huge inventory and are more likely to have what most people are looking for, both on display and in stock for sale.
As far as prices are concerned, there really isn't much (if any) difference between them because if one is cheaper on the item that you want, more than likely the other one will match the price.
Have fun, but be forewarned that both are dangerous to your wallet - once you see it, touch it etc, it's as good as sold!!!