I'd start weightlifting while trying to reach your goal bro. I'm not talking about heavy lifting, however, but it's a good idea to start incorporating weightlifting into your daily workout for a few reasons:
1. You can start using light free weights now to help build your stabilizer muscles. This will allow you to put more strength into a better excercise as you shift for a primarily weightlifting workout.
2. The weightlifting promotes protein synthesis, and assuming you are also sticking to a diet that limits(not negates) your carb intake and keeps your glucose from going out of control, your body will be forced to burn fat to rebuild muscle.
3. You can start working light weight now and figure out a lifting routine that works for you.
4. You won't feel like death after the first day of heavy lifting if you ease into it.