Most first-aid kits seem to come with one, sometime two, pairs of gloves. Given their delicacy two pairs might hold up for a few minutes. Hard use, the likelihood a few are damaged in storage, the need to change gloves between patents and when switching between contaminated and not contaminated surfaces, would seem to say even a small kit needs a lot more gloves. Two or three pairs isn't near enough. Six pairs is better but a quick look at accident scenes, even with just one or two people injured, often shows dozens of gloves discarded and there are clearly limits on how may pairs a small kit might hold.
I've entertained the thought that some sort of heavier glove, an industrial model, might serve. Early surgical gloves were fairly thick, durable, and were commonly reused. Surgeons didn't like them due to some loss of dexterity. If your bent is toward preparedness for long term and post-apocalyptic world a huge supply of disposable gloves, or a shorter supply of heavy-duty reusable gloves would seem to be your options. That assumes you absolutely require gloves.
I also have considered going without. The actual benefits of safety in the field provided by gloves have never been entirely clear to me. In a clean and well controlled environment working on a minor wound gloves likely help protect both parties. In the woods, rolling in the mud, large bloody wounds, and mass casualty sites that resemble an ill kept abattoir the advantage is much less clear.