A wireless repeater is fine, but the single biggest determinant is what kind of "WiFi" you have. The various versions are 802.11a, 802.11b, 802.11g, and 802.11n. The difference in range is substantial, with 802.11n having by far the greatest range. The going price for a good 802.11n router is ~$100 USD last I looked. You can easily get them for less, and you can spend more if there are specific features you want (such as dual-band coverage).
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