Yes I agree the ceiling lights are harsh. We have gone so far as to remove a bulb in one and hang the curtain to block the glare while chillin' out in the evenings.
Some folks put LED bulbs in the fixtures, but I don't recall if they are any less "bright" or a softer lighting...
I believe it was thehamguy1 who came up with using LED strips, from ikea, mounted on top the side walls. It looked like that setup worked well for them.
I like the lamp and I'm curious. What size bulb base does that little lamp take? Is it standard or candelabra? It showed the bulb as an accessory but couldn't tell from the website link.