Should I Let Someone Know They're My First Client [Traffic Talk]

A rookie freelancer has landed their first client and they are debating on whether or not they should let their client know they are the first client they ever had.

For context:

Should I Let them know they're my first client?

An opportunity to freelance recently fell in my lap and I'm not sure what to discuss with my first client. I've read the sidebar when it comes to pricing and scope (still working on it), but I don't want to ask for too much $$$ and underperform and vice versa. I also have to make a contract and invoice for the client and I don't want to back myself into a corner I can't get out of.

When you dealt with your first client, did you let them know upfront that they were your first client and there may be hiccups along the way? Or did you make sure as many issues as possible were wrinkled out before looking for clients?