First, successfully complete the "Father/Son" story mission to unlock Los Santos Customs (car repair shop). You will also need quite a bit of money to fully upgrade a vehicle. Additionally, not all vehicles can be modified. Open the internet browser on your in-game cell phone, and go to "southernsanandreassuperautos.com". Buy the Weeny Issi for $18,000, and retrieve it from your garage. Then, go to Los Santos Customs, and buy the following upgrades:
1. Armor - Armor Upgrade 20%
2. Brakes - Street Brakes
3. Brakes - Sport Brakes
4. Bumpers - Custom Front Splitter
5. Bumpers - Custom Rear Bumper
6. Engine - EMS Level 1, Level 2, Level 3
7. Exhaust - Dual Exit Exhaust
8. Hood - Vented Hood
9. Horn - Truck Horn
10. Lights - Xenon Lights
11. Plate - Blue on White 2 (buy what you do not have)
12. Respray - Primary Color - Chrome
13. Repsray - Secondary Color - Chrome
14. Skirts - Custom Skirts
15. Suspension - Lowered Suspension
16. Transmission - Street Transmission
17. Turbo - Turbo Tuning
18. Wheels - Wheel Type - SUV - Benefactor
19. Wheels - Wheel Color - Black
20. Wheels - Wheel Accessories - Custome Tires
21. Wheels - Wheel Accessories - Bulletproof Tires
22. Wheels - Wheel Accessories - Black Tire Smoke
23. Windows - Light Smoke
Once you have all of those items, leave the shop to get the "Los Santos Customs" achievement, as it will not unlock while you are in the shop.
1. Armor - Armor Upgrade 20%
2. Brakes - Street Brakes
3. Brakes - Sport Brakes
4. Bumpers - Custom Front Splitter
5. Bumpers - Custom Rear Bumper
6. Engine - EMS Level 1, Level 2, Level 3
7. Exhaust - Dual Exit Exhaust
8. Hood - Vented Hood
9. Horn - Truck Horn
10. Lights - Xenon Lights
11. Plate - Blue on White 2 (buy what you do not have)
12. Respray - Primary Color - Chrome
13. Repsray - Secondary Color - Chrome
14. Skirts - Custom Skirts
15. Suspension - Lowered Suspension
16. Transmission - Street Transmission
17. Turbo - Turbo Tuning
18. Wheels - Wheel Type - SUV - Benefactor
19. Wheels - Wheel Color - Black
20. Wheels - Wheel Accessories - Custome Tires
21. Wheels - Wheel Accessories - Bulletproof Tires
22. Wheels - Wheel Accessories - Black Tire Smoke
23. Windows - Light Smoke
Once you have all of those items, leave the shop to get the "Los Santos Customs" achievement, as it will not unlock while you are in the shop.