My church has always forbidden bringing meat products into the sanctuary. This is most notable at Pascha, when folks who bring baskets to be blessed (filled with kovbasa, ham, etc.) inadvertently bring them into the church. It's okay to leave them in the Narthex, however, one cannot bring them inside the church proper.
As a rule, our baskets get blessed either outside, or in the church hall.
Perusing the Web, I have noticed many photos of Paschal baskets being lined up inside the churches, awaiting to get blessed (see below).
So, is this just a local custom or is there an actual "rule" forbidding bringing meat into the church?