I was in Memphis in Feb this year. I'm not a country guy so I avoided the "Grand Ole Opry and similar sights, but there were a couple of other venues that held my interest:
1. For sure Broadway if you're in for constant live music. They call it "Honky Tonk Row". I was there at lunch time and at dinner time on a Thursday in February and the whole area was just hoppin' both times. Multiple joints had live music blaring even at lunch time. And it's central to a lot of things to check out.
2. National Museum of African American Music. Even though this somewhat duplicated some of the stuff I saw at Stax records in Memphis a few days prior, I found this to be an interesting place. In the heart of Honky Tonk Row
3. Musicians Hall of Fame. It's a little bit off the main strip but walkable from Broadway. I really enjoyed this facility - even more than I expected. I rated it right up with my visit to Stax in Memphis.
4. I've heard that the Ryman Theater (just off of Broadway) tour is good. I saw a show there but didn't do the tour.
5. The visitor's center (mentioned below) is a good source for your "what to do" question. They will rattle off a half dozen c/w features if you don't wave them off. Very helpful and right across the street from the African American Music Museum and near the Ryman Auditorium.
I didn't make it into any music stores (don't need any GAS temptations while on vacation!) so can't speak to that.
For sure, Uber/cab to and from Broadway. I accidently wound up there (Google maps felt that the visitor's center in the heart of ugly was where she needed to direct me). When we arrived in town and it was a nightmare just to get out. Most drivers are horrendous there (as they were in Memphis). Uber will drop you off about anywhere, but want you to get a couple blocks off the strip for easier pickups. Even the freeway system through Memphis is brutal, so Uber is your best friend unless you like tailgating and generally rude drivers.
"Convenient" accommodations will be very expensive (Upwards of $200/night). We stayed about 10 miles away from the central area and prices were still over $100/night at a modest hotel. Uber rides were about $13 each way - well worth it.
If you're there 4 days, Memphis is just a couple hours away and has a bunch of interesting features: Stax Records, Sun Records (don't just show up expecting to get in - get there early and reserve a later time if the first couple tours are full), Blues Hall of Fame and of course Beale Street.
