We've traditionally just used whatever's around. Ben has a Fender Bullet that he's in love with; that's been his go-to for the last few records. It's got a now familiar honk about it; a guitar that loves little low-wattage amps: the Champ, the Pro Junior, the Silvertone Twin Twelve. Thick, forgiving rock & roll tones, I guess.
I tend to favor the squeakier guitars: My favorite guitar for years was a Mexican Telecaster that I bought new in 1993. It also has a very particular 'thing' about it; lots of mids, not a lot of sustain. It's not really a very nice piece of wood, but it's mine and I love it.
I have a few key amps these days: A 1964 Tremolux, a 1965 Ampeg M-12 and a new Dr Z Maz 38. These cover most of the bases, at least in this band's guitar tone lexicon. There are more guitars on this record, too; I have a G&L Bluesboy that has proven itself completely, a great old Harmony semi-hollow, a 1948 National that sounds like a bee sting.
And microphones: the go-to transducers are, in this order, the AEA R84, the Coles 4038, the Shure SM7 and the AKG 414 B-ULS. I like either wide, wide open preamps (the Millennia HD-3V is a favorite) or my Quad Eights, which I sadly can't use right now, because my console is still down.