mazzonetv and Matthewt1970, thanks for the information!
To answer the questions, We live in the Tidewater area of VA...on the water. It's constantly humid in the summer. Generally I would take time to do it right and usually we paint in the fall where we live, but the "city" wants it done now or else.
We're smack in the middle of redoing ALL the plumbing and heating in the place, and really hadn't planned for dealing with this right now. We had planned to side our house in the coming year as well, but they want paint on it now and paint they shall have. I'm so tired of this city. The building is structurally sound and is no danger to anyone but name it a historic district and poof suddenly it's absolute blasphemy if you have one wall of peeling paint and rotted ends on three T&G boards. But I digress...
As far as the primer goes, I'd never had any experience with Kilz, but I'm generally not a fan of "one product fits all" type deals that say you can use anything with them. But I wasn't given a choice on that. Our neighbor really did a beautiful job on the carpentry end of it though, but the primer I wasn't crazy about expecially since it stayed tacky for weeks.
So, mineral spirits it is then. It looks like the weather might be decent this weekend *crosses fingers*. I'll let you know how it goes.