Bitter? They shouldn't be bitter.
I had a nice one the other day. The juicy parts were beautiful and red. It was positively sweet! I ate it with sliced strawberries, and it was almost too much... like eating candy.
The pomegranate I had before that one, though, had very pale fruit around the seeds (almost transparent, with just a little bit of pink). It was more tasteless than anything (and slightly bitter, due to the seeds, I guess).
A good, ripe pomegranate should taste delicious!
Let nothing which can be treated by diet be treated by other means. ~Maimonides