Should buy better router or wifi extender?

Main router does not need to support repeater. Repeater needs to be configured to "catch" router settings. All a wireless repeater is is a signal booster and acts like a mirror.

It takes the exisitng settings and mirrors it in another location at the cost of half the bandwidth speed however. So if you have 15. MB/sec on an Access Point at home form say a Netgear router, connected to the repeater it will be maybe 750 kb/s because the repeater is trying to "repeat" the signal and download information at the same time.

A good solution might be 2 Access points configured or maybe even a power line adapter(hooks up to the modem, receiving end gets pluged into a power outlet around the house and transfers the LAN signal via electricity...although mixed reviews are abound).

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