In English the formal designation is: Dawning Place of the Praise of God. Baha'is will usually simply say, House of Worship or Temple.
A Bahai place of worship is called: 1) a Bahai house of worship, 2) a Bahai temple or 3) a Mashriqu'l-adhkar These are three different names for the same thing.
Yes, there are homes that belong to Baha'is in Wilmette, IL, as well as a Baha'i Home for the Aged. The Baha'i House of Worship in Wilmette is located at Linden and Sheridan. See http://www.bahai.us/bahai-temple
Several Bahá'í houses of worship were built; so far, basically one for every continent (as of 2013, the one in South America isn't finished yet). You can find a summary in the Wikipedia article entitled "Bahá'í House of Worship".
The Confucian house of worship is called a Gurdwara. This is the Sikh house of worship and there is no god regarded in Confucianism.
A Muslim house of worship is called a mosque. It is a place where Muslims gather for communal prayers, worship, and other religious activities.
meetinghouse
a temple
The Bahai community is very widely spread across the world, but in small numbers. Most local Bahai communities meet in private homes, or in a rented hall or a Bahai centre, and the same places are used for worship meetings and other meetings. However specially dedicated Houses of Worship / Temples / Mashriq'ul-Adhkars (3 names for the same thing) have been built in some places. There are continental Houses of Worship (for example, the North American one in Wilmette, Illinois) and two national ones are about to be built (Congo and Papua New Guinea). Local communities, especially in the third world, may have a small house of worship or Bahai centre built with local resources, and plans for a number of smaller Houses of Worship have recently been announced in Cambodia, India, Kenya, Colombia and Vanuatu. These will be built with help from the Bahais around the world, and will be in permanent materials.
Sikhs worship in a holy temple called the Gurudwara(The guru's house.)
No, Jews worship in synagogues.
a catholic church
moon shiner