The first thing to do should be to figure out your power need based on you speaker sensitivity, seating distance and your desired maximum spl (sound pressure level). There are many online calculators that you can use and it should only take a minute to do. The most often linked one is:
Peak SPL Calculator (homestead.com)
Without the calculated results, based on bench test results of your AVR, I have to agree with others that your AVR is a powerful one, relatively speaking. If you want to gain some headroom by using it with an external amp, you should get one rated at least 250 W into 8 ohms and 400 W into 4 ohms because for just 3 dB headroom gain, you need 2X the power output.
Below are from a German bench tests:
162 W into 4 Ohms, 5 channel driven!! Mind you that's most likely @1% THD, but that's still impressive.
Yamaha RX-A2080 (Test) – audiovision
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Now compare the above results to that of the Arcam power amplifier P777, tested by the same lab:
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Not a whole lot of difference.. You can compare it with other 5 to 7 channel power amps by Onkyo, and Marantz and you will find that there isn't much of a gain in output either.