Smithy is spot on.
Just use the barbell and plates, forget the other fluff.
Add bench press, chinups and...
Something like this for the first few weeks as a "break-in period" every day.
1. Full squats 1 set, 20 repetitions
2. Standing press with barbell 1 set, 10 repetitions
3. Regular grip chinning on bar 1 set, 5 repetitions
4. Bench presses with barbell 1 set, 10 repetitions
5. Regular grip curls with barbell 1 set, 10 repetitions
6. Stiff-legged deadlifts 1 set, 15 repetitions
7. Calf raises on one leg 1 set, 10 repetitions
8. Sit-ups with bent knees 1 set, 10 repetitions
Just an example.