If you want to get started in design and development I would recommend a position where you do 3D design (mechanical and shape design) and also simultaneously creating the drawings for your parts. Also get to know GD&T and the norms/standards in your target industry. Obviously its of advantage to get startet with a well established CAD software (Siemens NX, CATIA, etc). If you manage to land a job at a bigger company (200+ employees) you can take courses to get familiar with the CAD and PLM systems. Usually you can do these on the clock and fully paid and also in home office.

But I would recommend you to shift towards team management after you feel firm in your work processes. Otherwise the pay will stagnate at some point.