Why does the Torah insert "be'Chol Moshvoseichem"?
Rashbam: To teach us that the prohibition against eating Chelev and Dam applies even in locations 1 where there are no Korbanos, where only Chulin is eaten and they are not brought on the Mizbe'ach. 2
Moshav Zekenim: Everything that is permitted in the Mikdash and forbidden to commoners, it says Moshvoseichem. It says so about Shabbos, for we burn in the Mikdash on Shabbos. It says so about Yom Kipur, for it is unlike the Mo'adim and its punishment is more severe, and the Kohen Gadol should not think that he can do Melachah in his house like he did in the Mikdash. 3
And at a time ... (Kidushin, 37b).
Even though the prohibition is mentioned in the Parshah of Korbanos (Ibid).
Why did he need to give new reasons for Yom Kipur? The same reason given for Shabbos should suffice! Perhaps it is because any Kohen may serve on Shabbos, but only the Kohen Gadol on Yom Kipur. (PF)
Which bloods are forbidden?
Moshav Zekenim: Blood of a Behemah, Chayah or bird