Hi june. We go to Vavilas very often. We currently go early July, but we ALWAYS book in advance now, having been turned away one evening. They can't make new tables/covers for regular visitors however hard they try. We ask Bobby at Bardis Sun Studios to sort it out for us tomorrow, never the same day. Wherever you stay, ask the owners to set it up for you and they will do it. But ask them the day before.
In June, your namesake, I believe it will be a good idea to book. Corfu as a whole is busying up, and peops are finding hard to even book somewhere to stay in Arillas this year. Just plan for the next day or the day after. Thomas always honours his bookings.
And whatever type of fish you like you will enjoy what he cooks. Or no fish at all, but limited possibilities for that in what is truly a fish taverna.
Phil