I think instead of looking for ways we can become anthropomorphs, why not look into birthing them? The big reason why many species cannot interbreed is because of the number of chromosomes in the gametes. Through genetic modification, it would be possible to add in additional chromosomes into one gamete to match the number in the other that it is to fertilize and create an embryo. We could experiment with whether to add human chromosomes or animal chromosomes to the one side that is lacking in number. Dogs would be the best place to start as they are omnivorous, though certainly more meat-centered in diet, they do still require some vegetable matter so there would be less issues, unlike a cat which is pure carnivore and requires certain specific proteins in their diet which might cause an imbalance in an omnivore human/carnivore feline hybrid. We would also have to see, if successful, if a born anthro is compatible with humans, with anthros of same species, anthros of different species, or if born anthro is born sterile.