I used the Raybestos mounts; no complaints. In the diagram below, 10, 12, 5, 2, and 3 should all be replaced when you replace the struts. 10 is a cardboard gasket that sits between the top of the strut and the strut tower, 12 is a plastic piece that the strut turns on when you turn the steering wheel, 5 is a rubber insulator that the top of the coil sits in, 2 is the bolts that connect the strut to the knuckle (make sure you get new nuts as well), and 3 is obviously the boot. You don't absolutely
have to replace all of them, but those are the wear and tear items you may regret not taking care of later.
On my 2001 there was an insulator for the bottom of the coil as well so if yours has one, get that too. I'm not totally sold that the diagram has all the parts listed since it doesn't include the upper nuts you were referring to

courtesyparts.com really screwed the pooch with their new website...I digress.
I'd consider putting new coils in there as well while you're at it, especially since
they can be had for less than $100. The ride will probably firm up nicely and you'll likely get a half inch or more of ride height back. If you decide not to, give the current ones a good once-over to make sure they're not overly rusted in any spots. They can rust through and collapse on you
Let us know how you make out!