You may want to read the first post in this thread. It has very helpful information regarding different sex linked crosses and charts of breeds that will give the best results, as well as ones to avoid.
https://www.backyardchickens.com/threads/sex-linked-information.261208/
You will want non-barred, non-white male over barred hens for black sex links.
As for your red sex linked cross, this was the advice regarding using white hens for that:
The second important rule is that one should not use white birds in sex linked crosses. White birds that have the correct genotype can be used to make a sex linked cross but a breeder never knows if the white bird has the correct genotype. The authors advise concerning white birds and sex linked crossing is do not use white birds in sex linked crosses. White leghorns can not be used in any kind of color sex linked cross.
