I was also stolen my PS4 when breaking into my apartment. What can I do there and how exactly?
What do you want to do there? Are you insured? Do you have pictures of the stolen things?
What should be different than with all other stolen items? Except that you may need to change any credentials (and, for example, also remove credit card information from the PSN, etc.).
Report to the police
Inform your household contents insurance with the diary number of the police.