Mount Pleasant has coached functional-fitness gyms, boutique studios, equipment-access gyms, and outdoor options along the seawall and the Main Street hills. Most residents are within a ten-minute walk or ride of several. Pick based on whether you want programming and coaching or simply access to equipment.
This is a direct answer from the CrossFit BC coaching team. Short version first, then the detail and the local context for training in Vancouver. If you want the same answer applied to your own situation, a coach will walk through it with you in person.