We chose to go for class 2 designation in FDA terms as it shows you comply with uptmost regulations, which is a selling point. Some hospitals depending on state gets rebates for meeting compliance.
It depends on what space you are going into. If it touches a patient, more than likely FDA regulated in the USA.
Other countries have similar orgs ( Canada has... Health Canada).
We also work with DoD/VA... Don't get me started on compliance with them.(the security stuff is a plus though, while initially challenging to meet, it has us pushing the code into commercial space products, everyone benefits from the extra security hardening. )
There is also a pathway you can apply for if there is no existing device with a class 2 designation which resembles yours, but you believe your device is still fairly low risk. That is called a de Novo submission.
A class 3 submission generally involves even stricter requirements for development plus a clinical trial to prove efficacy and safety. The most common one if these is called a PMA which stands for premarket approval.
Also, if you are FDA regulated you still have to comply with CMS regs. It is an extra layer of regulatory scrutiny.