They pray in a Buddhist Temple.
Monestaries
They pray to statues no matter where they are, but the "Holy Place" for Buddhism is in Limbini.
Peace and happiness for all mankind.
The Temple.
Confucianism has only One God. Buddhism believes in numerous deities. Confucianism is from China. Buddhism is from India.
Prayer was not a part of early Buddhism. In some cultures, Buddhism is combined with other religions in which prayer plays a part, but it is not Buddhist prayer.
There are many places. Lumbini, Buddhagaya are some
Buddhism does have organizations mostly in the way of monasteries. They don't have missionaries as such but monks do got to places where there is an interest in Buddhism.
Just about anywhere that's clean to pray in, excluding bathrooms.
Catholics can pray anywhere, they don't have a certain place where they can only pray. They pray in places like churches, their home, or wherever
Prayer is not part of Buddhism. There is no set time (like a Christian Sunday) for them to get together.