Given your situation, a limited warranty (b) would likely be the most suitable choice for purchasing a bicycle. Here's why:
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Cost-Effectiveness: Since the bicycle is relatively cheap and you don't plan to use it for more than a few years, a limited warranty often covers specific parts or types of damage and can be more affordable than a full warranty that covers everything.
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Suitability for Short-Term Use: You mentioned that you expect to replace the bike in a few years. A limited warranty can provide adequate protection for the time you plan to use the bicycle without the need for a more comprehensive coverage that might not be needed in the long run.
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Critical Components Coverage: Many limited warranties cover key components of the bike (like the frame, brakes, and gears) that are most likely to require repairs, which aligns with your expectation of periodic repairs.
A full warranty (a) may offer broader coverage but can be more expensive and unnecessary for your intended short-term use. A replacement warranty (c) may provide the opportunity for a new bike in case of severe issues but is typically more relevant for high-value items. An overlapping warranty (d) generally refers to a situation where two warranties overlap in coverage, which might not be relevant in this case where you are only interested in a single warranty for the bicycle.
Thus, a limited warranty would offer the best balance between protection and cost-effectiveness for your needs.