I'm going to differ (somewhat) with some posters I respect greatly. If you want primarily "egg layers", and you have to have a confined run due to traffic conditions, I'm going to recommend against both Brahma and SLW/GLW. My flock is in my sig, I own both Brahma and SLW. GLW are substantially identical.
I recommend against Brahma because (and they are beautiful birds), they are slow to start laying, they don't lay frequently, and the eggs that they do may are medium to medium large. Eventually, they get quite big - so your feed investment, and your feed conversion rates, are quite high.
I recommend against Wyandotte for differing reason - they were actually bred (according to some, anyways) as an improvement on the Brahma. While they are smaller, and grow faster, they are still pretty late to lay, still only lay about 3 days in 5, and still produce mostly medium to md-lg eggs, often with a subtle pinkish cast under certain lighting. They are also very flighty. If your birds are going to be contained in a run 24/7, I doubt their flighty character will benefit you, or your birds. I love mine - but I free range.
While their combs are potential issues (good coop design will help to mitigate this), bith the Rhode Island Red and New Hamphire Reds are somewhat early layers of large eggs with good frequency, and as their names might suggest, they were bred for cool to cold environments with the potential of lots of ambient moisture. I have some mutts based, in part, on the NHR, and have been generally pleased with them.
I've not owned them myself, but you might also consider Orpingtons and Australorps, decent rate of lay, large to XL eggs, moderately early start of lay - and of course any variety of Rock. The Leghorn, in spite of its comb, is excellent choice as a layer.
As a further note, you should be aware that most of these birds (pretty much all but the Leghorns) *can* get quite big, for chickens. You would benefit by having more space in your run than the thumb rules if you choose these birds, though none are particularly flighty - it will help with potential behavior issues.