Not laughing--nothing wrong with not wanting your home to look like a garage! And nothing wrong with having plants in the gym, either, imo.
I have heard the SS Austin gym described as "chic." Pics on page 4 of this thread: Starting Strength Austin
Don't laugh, but there are lots of posts on reddit.com/r/pelotoncycle with photos of people's training areas. Could be a good resource to look through for ideas. The Ikea Raskog cart ($35) is a common feature: MOLGER Bench - IKEA So are wall-mounted floating shelves or storage cubes like these Ekets (5 for $100): EKET Wall-mounted storage combination - light gray/dark gray/red - IKEA
Ikea Molger ($49) is a bench that is somewhat similar to the ones in the SS Gym ("bench" as in a place to sit and maybe stow your gym accessories, not a bench from which to press): MOLGER Bench - IKEA
While no doubt they are of inferior quality to the SS gym furniture, they're perfectly adequate for household use. I have a few Molgers in my home--two set end-to-end are the perfect size to put at the foot of a queen-size bed. Good place to store shoes, extra pillows that come off the bed at night, makes a great cat pedestal, yadda yadda.