Magical Society Lore
Although magical folks live in the same world as non-magical folks for the large part it appears their lives are quite separate and significantly different. In the Harry Potter books and films we get a pretty clear picture of what the magical world is like. It is based loosely on society in Victorian era Britain and is distinctly unique from the modern muggle world around it. In order to develop your character it's important to understand the society they will live in as a magical person.
Statute of Secrecy
In the late 1600s magical folk around the world band together to develop a solution to ongoing risks posed by muggles. This was likely prompted in part by the Salem Witch trials and a refusal from the British Monarchs to grant protections to magical people. As a result an international decree was adopted by magical people in many nations to take magical society underground. In 1692 the British Ministry of Magic was formed to manage and protect magical society and persons within the British Isles. The number one law, that remains in place to this day, is no magic in front of muggles. The magical world must remain a secret for the protection of everyone. Due to this statute magical society is very insular with minimal influences from the muggle world carrying on around them.
Muggle Relations
As we saw in the books muggleborn witches and wizards find out about the magical world when it is time for them to attend Hogwarts. In the books and film we see that as adults, educated in the magical arts, these people tend to assimilate into magical society and lead the life of a witch or wizard with minimal - moderate exposure to the muggle world as adults. Laws around magic in front of muggles appear to have some carve outs for live in relations thought apart from persons in their home a magical person should not reveal their abilities to muggles. The magical world has strict laws and protections in place about using muggle artifacts in the wizarding world. As is clearly displayed in the books magical people in mixed relationships with muggles or of mixed heritage may face prejudice from more conservative wizards. Similar disdain seems to be applied to Squibs, persons of magical parentage with no magical ability themselves.
Politics
Wizarding politics have always been somewhat tumultuous. It is often the relationships and proximity to the muggle world and muggles that shape much of wizarding politics. In modern history conflict over wizard's place in the wider world had been an ongoing part of magical politics. The Global Wizarding War started by Gellert Grindelwald in an attempt to abolish the International Statue of Secrecy took place from the late 1920s until Grindelwald was defeated by Albus Dumbledore in 1945. Though they lost their leader, those who wanted to defeat muggles, restore wizards to the top of the global power structure, and abolish the Statue of Secrecy remained active members of society and often, the government.

By the time events take place on Foe
.Glass there have been a number of recent political movements within the wizarding world. Outcries over the treatment and rights of goblins also caused political conflict in the late 1960s. Squibs led civil rights marches in 1968 & 69 regarding their second class citizen status. Response to these movements came swiftly in the form of pure-blood extremists rioting amidst the marches themselves. Though he has been in Europe for nearly a decade studying and 'working' Tom Riddle, know by 1969 as Lord Voldemort, has returned to the UK where he plans to captain the pureblood movement. This has further emboldened pure-blood supremacists and magical supremacists who have been long awaiting a change and freedom from the Statue if not total domination of muggles themselves.
Lifestyle
We can see from the books and films that wizards lead dynamic, exciting lives. Some wizards live in London, hiding in plain sight amongst muggle dwellings. Some wizards live isolated in the countryside where they are free to express their special flair. Like muggles lifestyle is dependent on many varying factors including heritage, income, and personal interests. From canon it would appear that apart from wizarding areas such as Diagon Alley, Hogsmeade, and Godric's Hollow most wizards live dispersed across the UK. Wizards appear to largely structure their lives in patterns similar to muggles though wherein children go to school, adults work in or outside the home, and though their world and community are small it is generally an insular, close knit group.
Professions
While in the books we see most professions being within the Ministry or in magical shops there is a wide world available to magical people. Since wizarding society has been separated from muggle society for over 200 years the wizarding world has had to develop industries of its own which would provide a wide array of opportunities for employment and work outside of what we see in the books. Don't be afraid to get creative in the type of magical focused career your adult character has or the aspirations of your student.
Aesthetic
In canon we know that wizards have a unique flair and style. They favor robes over muggle fashions and love bright and eccentric styles. Often we see men wearing robes or suiting with capes, women tend to wear dresses and robes. Wizarding society tends to dislike modern muggle fashions, they find it too bland. At Foe
.Glass we love a fashion moment and encourage characters expressing their own unique style and flair. The 1970s did have some pretty wacky fashion moments, add a wizard or witch to that and we are bound to see some creative looks.