[Matthew Oxford]

Brahma - God of Creation

Symbols

[/b] – The four Vedas (Ṛg, Sāma, Yajur and Atharva).
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The Four Hands – Brahmā's four arms represent the four cardinal directions: east, south, west, and north. The back right hand represents mind, the back left hand represents intellect, the front right hand is ego, and the front left hand is self-confidence.

The Prayer beads – Symbolize the substances used in the process of creation.

The Book – The book symbolizes knowledge.

The Gold – Gold symbolizes activity; the golden face of Brahmā indicates that He is actively involved in the process of creating the Universe.

The Swan – The swan is the symbol of grace and discernment. Brahmā uses the swan as his vāhana, or his carrier or vehicle.

The Crown – Lord Brahmā's crown indicates His supreme authority.

The Lotus – The lotus symbolizes nature and the living essence of all things and beings in the Universe.

The Beard – Brahmā's black or white beard denotes wisdom and the eternal process of creation.

The Vedas Symbolises his four faces, heads and arms

Vehicle

Brahmā's vehicle or vāhana is the hansa, a swan or a goose.

No Various Names Available for Brahma.

[Matthew Oxford]

Vishnu | The Supreme Being

Vishnu is also known as Narayana and Hari.

It describes Vishnu as the all-pervading essence of all beings, the master of—and beyond—the past, present and future, the creator and destroyer of all existences, one who supports,preserves, sustains and governs the universe and originates and develops all elements within.

He is depicted as holding a padma (lotus flower) in the lower left hand, a unique type of mace used in warfare known as a gada in the lower right hand, a Panchajanya shankha (conch) in the upper left hand and a discus weapon Sudarshana Chakra in the upper right hand.

Ten avatars (dashavatara) of Vishnu are the most prominent

Matsya, the fish that kills Damanaka to save the vedas and saves mankind.

Kurma, the turtle that helps the Devas and Asuras churn the ocean for the nectar of immortality.

Varaha, the boar that rescues the Earth and kills Hiranyaksha.

Narasimha, the half-lion half human, who defeats the demon Hiranyakashapu -nara(man), simha (lion).

Vamana, the dwarf that grows into a giant to save the world from King Bali.

Parashurama, "Rama of the battle axe", a sage who appeared in the Treta Yuga. He killed Kartavirya Arjuna's army and clan and then killed all the ksatriyas 21 times.

Rama, Sri Ramachandra, the prince and king of Ayodhya who killed Demon King Raavan.

Balarama, The elder brother of Krishna and considered the eighth avatar of Vishnu in puranic texts (also depicted in most ancient paintings / murals as shown on the painting on the right from the Victoria and Albert Museum. In some modern interpretations, however, Krishna is considered the eighth avatar and the Buddha the ninth.

Krishna, the ninth Avatar of Vishnu and associated with the Dwapara Yuga.

Kalki, the tenth avatar of Vishnu and said to be the harbinger of the end of Kali Yuga. This is the only avatar of Vishnu that is yet to manifest itself.

[Matthew Oxford]

Mahadev | The Supreme God

He is "the Destroyer" or "the Transformer" among the Trimurti.  Mahadeva is also called Paramatman (Supreme soul).Lord of the Universe and Cosmic Man or Parabrahman are also names of Lord Shiva; as a proper name it means Lord "The Auspicious One". He is also known as the Cosmic Dancer.

He has more various names. 

Shiva's form 

Shiva has a Trident in the right lower arm, with a crescent moon on his head. He is said to be fair like camphor or like an ice clad mountain. He has fire and Damaru and Mala or a kind of weapon. He wears five serpents as ornaments. He wears a garland of skulls. He is pressing with his feet the demon Muyalaka, a dwarf holding a cobra. He faces south. Panchakshara itself is his body. (The trident, like almost all other forms in Hinduism, can be understood as the symbolism of the unity of three worlds that a human faces - his inside world, his immediate world, and the broader overall world. At the base of the trident, all three forks unite.)

Third eye

Shiva is often depicted with a third eye. 


Crescent moon

 Shiva bears on his head the crescent moon. The crescent moon is shown on the side of the Lord's head as an ornament. The waxing and waning phenomenon of the moon symbolizes the time cycle through which creation evolves from the beginning to the end. Since the Lord is the Eternal Reality, He is beyond time. Thus, the crescent moon is only one of His ornaments. The wearing of the crescent moon in his head indicates that He has controlled the mind perfectly.

Ashes

Shiva smears his body with ashes (bhasma). Ashes represent the final reality that a human being will face - the end of all material existence.

_{Credit to Wikipedia. Further information can be found there or in Yahoo, plus can be googled.}