Domes are recommended because they tend to be most accurate at range. When you hit a bunny twixt ear and eye it will die no matter what the pellet shape is, they don't seem to mind.
Try a few good quality ones on paper - H&N FT Trophy, AA Field and similar. See which one is most accurate through your particular rifle and make your selection.
Pretty straight forward really
Then of course, practise at ranges you'll be hunting at til you get nice tight groups (pound coin size is a good marker) and then you'll be confident in getting clean kills.
ATB
Duncan