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My bathroom faucet is dripping, and I would like to change the washers in it. The problem I am running into is the placement of the nuts holding the faucet valves in place:

This is the underside of the sink, the hot and cold valves are on either side. The nuts holding the valves in are quite large, and they are inside a small recessed space that I can barely fit a small pliers into, much less one large enough to actually get around those nuts. Does anyone have any suggestions for how I might get those nuts off?

Update: Always make sure you are asking the right question first, see answer below. Though if anyone is in a similar situation to mine and actually needs to remove a valve, some of the other suggestions here look helpful.