My relation to birds? Well that's quite a long story. It all goes back to the Carboniferous period, where our ancestors were early amniotes. That is when shared our last common ancestor. Soon afterwards the amniotes diverged into multiple groups based upon the possession of temporal fenestra (openings in the temples); with those being the Synapsids possessing only a single pair, the Diapsids possessing two pairs and the Anapsids which lacked any of these openings. The synapsids later went on to dominate the planet within the Permian. Many of these developed many mammalian characteristics, and came to be recognized as the therapsids (the mammal-like reptiles) and are now seen as the forerunners of mammals. But after a cataclysmic extinction even occurring at the period, many groups of animals were reduced to extinction, and the therapsids themselves failed to thrive in this new environment.
A newer group of animals called the Archosaurs evolved and began to dominate many niches. They were descended from the diapsid lineage of reptiles. The archosaurs led to groups of animals such as crocodiles, pterosaurs and even the dinosaurs themselves. At the end of the Triassic these animals took over the Earth and reduced the rest of the therapsids and early mammals to less significant ecological niches. The mammals came to chiefly take over small, nocturnal and insectivorous positions as they were out-competed by the dinosaurs and their kin. Things would stay this way across the rest of the Mesozoic and dinosaurs dominated the planet for millions of years to come -- even taking to the sky as the birds. But another cataclysmic extinction event changed all of this.
The non-avian dinosaurs became extinct. This was followed by a brief point in time where birds dominated the planet. But the mammals soon began to diversify and occupied most of the niches that had belonged to the dinosaurs. Mammals are now quite successful within the Cenozoic and are some of the most diverse organisms to ever live: More so than birds, amphibians and all other extant classes of terrestrial vertebrates.
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Oh... I see you intended to ask if we personally like them or not, and not our relation to them in phylogenetics, ecology and in paleontology. They're pretty nifty, I guess. I admit to enjoying seeing them within my garden and feed them whenever I get the opportunity. I also work with many birds including parrots, fowl, finches, jays and even ratites at the animal centre which I volunteer at. 