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.
I've used a tiny Japanese 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.
In the past I've regularly used 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.