Using a repeater will see performance degradation as everything packet is transmitted to the gateway AP, and then re-transmitted onto the LAN. Not to mention the potential of interference.
However you can definitely setup repeaters where the performance impact is neglible.
Adding additional AP's wouldn't help the performance of the repeater (unless they have a better connection to the repeater than the current AP), as the repeater will only send and receive via one gateway AP.
A directional antenna may help if interference is your main problem.
Are you seeing high latency or poor signal when looking at the AP health/summary information on the dashboard?