At a previous company, we worked through initial ECAM and any OEBs. If it is an EFATO, follow any emergency turn as appropriate, then level off to clean up, then climb to MSA. Continue ECAM as you climb; working through the system pages. When you get to STATUS, pause to run the after take-off/climb checklist, if applicable. Then read STATUS fully and apply any STATUS actions, computer resets, MEL, or QRH actions and relevant operational tasks. The latter could be engine bleed(s) and pack(s), for example and could include starting the APU. Although we often did bleed and APU actions as we processed the relevant system pages.
Then you are into TDODAR.