My hands are about as old and infirm as the rest of me; in UK I joined the Environmental Travel Association's recovery plan and make sure I have their number and my membership number in my phone/cell where I can find it!
My tires/tyres are about 8,500 kilometres old, and I plan to replace them soon. I'll reuse the Tannus Armour liners and apply latex Slime to new puncture-resistant tubes.
I carry a WooWind electric pump, which pumps all our wheels with a brilliant connector to Schrader valves. It also doubles as a phone power bank.
It is important to me that I have rehearsed wheel removal - roadside repairs are best equipped with experience.
I carry a washing pouch with a motley collection of tools. They have come in handy on small group rides.