Get a soldering practice kit. If you're doing surface mount, get a SMD one. For next level practice, checkout azonenberg's rework challenge: https://github.com/azonenberg/reworkctf. He also has some YouTube video about it.
You really do need all those little tools, plus a good soldering station, and possibly a hot-air rework station. Get a smoke extractor fan. Learn to use lead-free solder with a small silver component. That gets the melting point down. Visit a place that repairs cell phones and see what they have.