You will need an operating name and a website and email address to go with it.
You have to refer to yourself as something. Without a name, website and company email, you will look like an amateur.
Choose an operating name that has to do with your service.
Make sure it is .com. Do not do anything other than .com.
It would be good if the social media accounts were also available to match your domain but it is not strictly required.
Do not choose a name that is complicated, too long, or needs to be explained. If you have to explain it, that is an automatic fail.
You don't need to set up a corporation yet, but once you get some clients, consider doing so in the USA with Stripe Atlas. You can open a corporation for about $500 in the USA regardless of where you are in the world, and you can get a USA bank account and Stripe.
Do not choose a complicated name
Do not choose a name that you would have to spell out when telling someone about it on the phone or in real life
Do not do anything other than .com
For my landing page and conversion rate optimization agency, I chose the name Conversion Pages and conversionpages.com as that obviously related to my service and is easy to understand.
Get An Operating Name + Domain + Email Address - Month 1 · 10k Per Month Agency