I've already mentioned the '62 Fender Tremolux (in my autobiography section); the cabinet now houses two heavy-duty Celestion 10" speakers to cope with the bass frequencies. I also have a 1963 Fender Super 2x10" combo, and a new-ish Fender Pro-Junior (which you can just see in the background of the inner "Upsy Daisy" photo), a gift from Lyle Workman and a great little amp.
Fender Sidekick Reverb 30 practice amp on any number of projects since 1986 (when I bought it), and is actually one of Andy Partridge's favourite recording amps! I've also a Roland JC-120 combo and a Korg A2 Digital Processor that is useful for recording at home.
Ernie Ball strings, and made up my own sets from individual sizes, but I've recently switched to D'Addario XL-115's (.011 - .049) because they're cheaper and easier to get hold of. No, I've never had an endorsement deal for strings.
Picks are plastic Fender Heavys, though for acoustic guitar I like the Jim Dunlop Tortex .60mm (the orange ones). Acoustic strings are Martin Phosphor Bronze M530 Extra Lights, but with the top .010 replaced with a .011.
I treated my studio to a lovely new TubeTech compressor/limiter (another step further to my dream home set-up), and myself to a 40-year-old cherry Gibson Les Paul Junior which sounds outrageous! This spend-thriftyness is the result of XTC finally being paid for our 1996 audit discovery of Virgin Records. It's now late '99, you'll notice. Evil villains, the lot of them.