I used to play in the Memphis Symphony and lived there for a while...
First, pronounce it like the natives: MILL'um-phus.
I thought it was a truly bizarre place and couldn't wait to leave. However, there are some fun things to do. Granted this is what I remember from the last century when I lived there. One of the most amazing things about Memphis is the azaleas in the spring. Hopefully your visit will coincide with their blooming. The Ginormous Azaleas of Memphis in full color bloom are unbelievable. The city is engulfed in clouds of bright pink, fuchsia, lilac, magenta, and purple.
Graceland--it is what it is. Home of Elvis and current pilgrimage shrine. Try not to laugh at how incredibly tacky everything is if you do go.
Beale Street--downtown nightclub area, home of the Memphis Blues and Memphis Barbeque. Nightclubs, restaurants, The Orpheum Theatre which had been completely renovated when I lived there and I played in the Gala Grand Reopening Concert with the MSO.
Overton Square/Park: Square--lots of quaint shops, Playhouse in the Square, and restaurants in the Midtown area, a couple blocks south of Overton Park; Home of Memphis Art Museum and Memphis Zoo. The Central Park of Memphis. Near the university (MSU).
Mud Island (technically a peninsula). Tram access from downtown. A spit of land in the MIssissippi River with Riverview walk, view of downtwon city view, a complete replica of the Mississippi River. The opening of "The Firm" with Tom Cruise opened on Mud Island as well as featuring some other locations in the city.
Pink Palace--the former mansion of the founder of Piggly-Wiggly. Memphis History, Science, Natural History, Planetarium, Museum.
National Cemetery--cemetery opened during the Civil War to bury the dead. Civil war graves and monuments.
And last but not least: The Peabody Ducks. You can't visit Memphis without stopping by The Peabody to see the ducks playing in the fountain. They arrive on a red carpet in the morning for their day "at the beach" and leave in the afternoon to retire to their rooftop penthouse. Tradiitonal English Afternoon Tea at The Peabody is a real treat!
https://www.peabodymemphis.com/ducks-en.html
https://i.pinimg.com/736x/b5/b6/df/b5b6df37caac283db50f43adefb32433.jpg