Residence Permit in Armenia

Yes, you do

To obtain a one-year residence permit, you need to apply to the visa and passport department at the Armenian police
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Required documents:
1. Application
2. 3 color photographs 35x45 mm
3. Passport, passport copy, notarized translation of the passport
4. Documents justifying the need for a residence permit (employment contract, extract from the state register confirming the existence of an IP or legal entity in Armenia, residence permit or citizenship of a spouse/parent/child, certificate from the university on education, etc.)
5. Health certificate
6. Receipt for payment of state duty (105,000 drams, can be paid right there at the terminal) 
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It is not recommended to submit documents for a residence permit on the same day as registering as an IP. You may face refusal, and reapplication in case of refusal is possible only after a year. 

A residence permit is issued within a 30-day period. To renew a residence permit, you should also apply 30 days before the expiration of the previous one.

We recommend applying for a residence permit (RVP) 2 months after opening an individual entrepreneur (IE) status. After you receive the RVP, your spouse and child can apply for it through the «family reunification» basis

It's possible, however, it's advisable to contact the visa and passport department beforehand. But it's better to entrust this to professionals. They know the procedures, what needs to be done, and why