What happens to the room
Police come first and stay until the medical examiner's investigator has finished. In Westchester every suicide is reported to that office. Before leaving, officers say when the home has been released.
Nobody in the family needs to re-enter it. Close the door, or ask a neighbor to. The cleanup company removes what cannot be cleaned, treats the surfaces that can, and leaves the room safe to enter. It is not always possible to make it look as if nothing happened, and an honest firm says so up front.
If there are things in the room you want kept, such as a letter, a phone, a ring or photographs, say so on the call. They will be set aside for you.
Practical matters, briefly
Who can call
Anyone the family trusts: a sibling, a friend, a member of the clergy, the funeral director. The company needs someone who can let them in and agree what is to be done.
Privacy
Ask for an unmarked vehicle and for the crew to carry things out in closed containers. Neighbours do not need to know why they are there.
Paying
State victim compensation is for crimes, so it is not the route here. A home or renters policy may be. Who pays covers what to ask the insurer.
Two questions people hesitate to ask
Is it wrong to want it done quickly?
No. Many families want the room dealt with before relatives arrive. Others need a few days. The phone is answered whenever you are ready.
Will the workers know what happened?
They need to know enough to work safely, and they will have seen it before. You can keep the explanation to one sentence.
Once the police hand the home back, phone
The person who answers works for an independent cleanup firm active in and around Yonkers. Put any question to them. Whether to hire them is up to you.
Phone answered at every hour, weekends and holidays included
Calls can be recorded. How that works: privacy, and how this service is paid.