DL wrote:

When I went to my dr., he basically said "stay healthy and we'll see
you at eight weeks". So are the quantitative hcG tests something
people are seeing as routine to other doctors, or are they primarily
given when m/c is feared? I am new to this whole process and want to
make sure I'm doing everything I should. Is this something people ask
for, and if so, when?

They are not routine under normal circumstances.
If you have no reason to suspect problems, there's no need.
Heck, there's no need to have a doctor do a pregnancy test
at all in most cases. I've had three healthy babies and
have never had a doctor do a pregnancy test.
Don't go into this assuming that the more tests
you get, the better off you and your baby will be. The
opposite is sometimes true. Approach testing during
pregnancy like any other health care decision--be critical.
Ask why it's necessary, what happens if you don't do it,
what happens if you wait, what constructive can be done
with the knowledge gained, etc.
In your case, you already know you're pregnant,
and with no reason to suspect trouble (from either your
history or current symptoms), it is very unlikely that
you would get any useful, actionable information from
serial quantitative hCG tests.

Best wishes,
Ericka