>>994228Handpump or a track pump? Handpumps are useful for on-the-road repair kits but for your garage a trackpump with pressure gauge is necessary, IMO. Your tire pressure makes a huge difference in comfort and tire life.
Cleaning your chain is controversial. Better to clean it the old fashioned way, with a carwashing sponge and a gentle degreaser diluted with water. Lube after. Chain cleaning tools actually do their job too well, and remove lubricant from parts of your chain that will most likely remain dry no matter how good a job you do with relubrication. This will end up reducing chain life.
Chain checking tool is very handy and arguably necessary. If you decide to change your own chains, a high quality chain breaker as well.
Spoke wrenches are useful and cheap(like 3 bucks.)