My first 5 were "retired" hens from the organic egg-laying industry, so they were all the same (red sex links). While they were the same, we quickly learned to tell them apart and could even tell some of their eggs apart. (Queen Peach tended to lay peachy colored eggs, Marquis huge ones and Georgia smaller darker brown ones...)
Last year we added 5 chicks of mixed breeds, but only 2 survived so far... one of which was a New Hampshire Red, so now we have red hens PLUS one EE.
Last month we got 6 more chicks, hoping for a better success rate and none are red. HOpefully, we'll have a mix of red hens, two Easter Eggers, and one each of the following: Speckled Sussex, Barred Rock, Buff Orp, Black Astraulorp and Ancona.
While I'm glad we did the rescue route for our first flock, I think we'll have mixed flocks for the remainder of our chicken days for all of the reasons everyone has previously mentioned...