I would go thru the insurance.  No use paying more then you have to.
Maybe the insurance will be kind to you since it is your first.  Of
course, it may not matter (if you pay your own or not) since they are
paying on the other vehicle any ways.  I would also go with the more
complete work estimate.  Better to replace parts like fenders instead of
just fixing the dents.  Better to have it fixed correctly the first
time.  If you don't know a good reliable place, just ask around and see
who people trust.  Of course, just my opinion.  :-)

Do you have any violations on record in last three years?  If so, try
to avoid the insurance company.  Try hard.  And even if not, it's
probably a good idea.  But do note the warnings of TeGGeR® and others.

This is only for your own car, there is no damage or claim from the
other party (eg, a tree?)  As soon as there is anything like that, and
of course if there is any claim to injury, I'd say it goes back
towards doing it all thru insurance.

And that's assuming you have a clean record, which given your
question, I guess is true.

Also, if your car is on lease, you'd probably have to go for the full
repair.  And on a 2004 TSX, I'd say you'd want to, anyway.

Good luck, ain't nothing new here, keep kewl,
J.