I agree with enola. You are mixing with mixed breeds. You could end up with anything. But generally the more mixed the healthier so you probably can't go wrong. Your roo is from a breed known for good eggs, so are your sex links. You could do some of both the EE and the links. Unless of course any of them have any traits you don't want.
As far as egg traits passed on that depends on the egg color your EEs lay. The roo hatched from a brown egg and will give his daughters the brown egg gene. If your EEs lay green (any shade) then they have brown and blue egg traits and the eggs from the offspring will probably be another shade of green, but eggs from the F2 might be blue or green, if your current EEs lay blue then crossing them with your roo will give you green eggs.
So since you are just doing this for yourself pick the hen/s whom you like the best (color, personality, eggs color or egg production) and hatch those out. You should get a wide assortment of variations. Should be interesting. Be sure to post your progress.