Also, if you think that I'm unfairly against Banjo-Kazooie, I'm not.
I think you are, because when someone else suggest that they prefer Banjo-Kazooie, you say something to the effect of "I don't think so." People are allowed to like whichever game they deem preferable.
Now onto my opinion. I think Banjo-Kazooie was better. I think that while there were some good new features in Banjo Tooie, but there also was annoyances with Banjo-Tooie. For instance there were several cross area jiggies which got complicated and annoying.
I also enjoyed the different areas more in Banjo-Kazooie, I liked Mad Monster Mansion and Gobi's Desert.
Banjo-Kazooie also has more nostalgia for me, I played that one a lot more than I played the second one.
Also I Banjo-Tooie will obviously have more moves, but that is because it is a sequel. But for the first game the moves were great, while yes the first person option in Tooie was an improvement, but I had no problems with shooting eggs in the first one.
Overall I think Banjo-Kazooie is the better one.
As to your egg question, I liked the fire eggs from Banjo-Tooie the best.