I have 5 local stations, but all for different reasons...
As the crow flies, my nearest station is KINGSKNOWE (pronounced Kings - now), which is on the Haymarket - Kirknewton line. Stopping trains to Glasgow Central (via Shotts) stop there, but if I want to use it, it would take 2 buses to get there, entailing a change of buses outside Slateford station. It's just 2 platforms each with a bus shelter.
WESTER HAILES, next station down the same line - still takes 2 buses to get there, but they're different buses. Same facilities as Kingsknowe, but the bus shelters are often used as shooting galleries (drugs).
SLATEFORD is, again, on the same line, but nearer to Haymarket. Exactly the same facilities as Kingsknowe, but from a personal point of view, the road away from the southbound platform has substantial bushes where you can "communicate with nature" on an emergency basis without being observed!! I have NEVER used any of the above stations, but I've passed through them on VT or XC trains.
I go to HAYMARKET for trains to Glasgow or Fife (same bus as one to Slateford) or WAVERLEY, for the ECML. It takes a different bus to get there, but it's a bit of a hike, cos the buses are diverted cos of the tram chaos.