Hanuman is a very interesting deity on many accounts.
- He represents the archetype of qualities like Valour, Service, Humility etc., though he is also a warrior deity. He is the ultimate combination of strength and humility.
- He is also a deity who is part Shiva and part Vishnu - and hence the above combination.
- He is also one of the deities in a physical form in the current timeline, so the chance of manifesting him is pretty high compared to other deities.
My experience with Hanuman is not much as my practices are more centered around Shiva and Shakti (and her aspects like Sekhmet, Athena, Innana, Hera, Hetemit etc.) but I have experienced the presence of Hanuman during some rituals. I do not have that kind of personal relationship with him to invoke him at will - but most of the time he has appeared is when I am in some sort of physical danger.
Do note that the easiest way to approach Hanuman is semen retention. He is called “Mukhya Prana” - or the Main/Refined Prana. One of the pre-requisites for approaching Hanuman mantras is celibacy as he embodies the state of semen retention and sublimation (urdhva retas where the pranic energy is not going downward through ejaculation, but the mobility is upward, transmuting it to Ojas) - and he is this clarified Prana personified.
He is serious, not very playful (unlike some other deities), very very powerful and protective and active on astral planes in defending certain planes of existence.
A Deity is both a higher entity as well as an archetype of one’s one internal self - both those are simultaneously true for what exists in the Macrocosm also exists in the Microcosm. I will request him to reach out to you, give you a sign etc., but to what extent you perceive him would depend on the work you put in.
Edit: Do note that in Hindu Tantra, there are different mantras for the same deity, to approach different aspects of energy of that particular deity. For example, the mantra of Vira-Hanuman evokes him as a Warrior, Vaidya-Hanuman for healing, Panchamuka-Hanuman for alchemy of five elements, Ashtamukha-Hanuman for protection from negative entities and so on.