Flaming Chalice

The flaming chalice combines two archetypes - a drinking vessel and a flame - and as a religious symbol, has different meanings to different beholders.
It is the most widely used symbol of Unitarianism and the official logo of the Unitarian Universalist Association (UUA) and other Unitarian and UU churches and societies.
The symbol had its origins in a logo designed by Austrian refugee Hans Deutsch for the Unitarian Service Committee (USC) during World War II.
The chalice symbol is often shown surrounded by two linked rings.
Many Unitarian Universalist and Unitarian congregations feature flaming chalice symbolism on their signs, logos, and in their meeting places. Some congregations light a chalice while saying opening words at the beginning of weekly worship services.

Infinity Symbol

The precise origin of the infinity symbol is unclear. One possibility is suggested by the name it is sometimes called—the lemniscate, from the Latin lemniscus, meaning "ribbon".

The mathematical symbol for infinity was devised in 1655 by mathemetician John Wallis

The religious aspect of the infinity symbol predates its mathematical origins. It has been found in Tibetan rock carvings; the ouroboros, or infinity snake, is often depicted in this shape. In the tarot, the lemniscate represents the balance of forces and is often associated with the magician card.

Labrys Meaning

Labrys is a term for a doubleheaded axe, accepted to the Classical Greeks as pelekys or sagaris, and to the Romans as a bipennis.

The labrys symbols are found in Minoan, Thracian, Greek, and Byzantine religion, mythology, and art, dating from the Middle Bronze Age onwards. The labrys aswell appears in African religious mythology (see Shango).

The labrys was former a symbol of Greek fascism. Today it is sometimes used as a attribute of Hellenic Neopaganism. As an LGBT attribute it represents lesbianism and matriarchal power.

Ankh Cross

The Ankh Cross represents life (immortality) and death, male and female, balance. It can aswell represent zest, joy of life, and energy. It's related closely to the looped cross that can mean fertility and life.

The gods are often seen holding an ankh to someone's lips this is considered to be an offering of "The Breath of Life". The breath you will need in afterlife.

Like a lot of religious or spiritual symbols, the Ankh Cross doesn't have a single meaning. The following extracts from books on symbols might help you get a feeling for it, though.