Hi Mins
Hope you are still around and will get this before you set off. I got back from Paphos at 3.30 this morning (so please excuse typos). I already feel the chill in my bones after a fortnight of glorious, uninterrupted sun. You are very lucky!
If i was going back and had a celebration planned, I would head to Notios at the Almyra on Poseidonis Ave. This was our hotel and although I had a few issues with it for accommodation, I couldn't fault Notios. It's the beachfront restaurant. Stunning sunset views of Paphos Castle and harbourfront. If you go, make sure you reserve a seafront table and get there before dusk. It is quite pricey but the food is cooked so beautifully. There is a set menu, which we didn't venture far from. It was exquisite and we never had a bad meal. As vegetarians, the set menu was quite meat/fish focussed, so you'd probably need to go a la carte. The chef amended a number of his dishes for a family we knew who had a son who was quite challenging in his dietary requirements. There is a children's menu (and a baby menu) and my 9 year old ate the set menu at nights and was also happy with the children's lunches. The puddings are a work of art!
If you want something a bit more traditionally Cypriot, then I suggest the Happy Island, opposite the Almyra. It is a family run restaurant a bit of a dying breed in Paphos. Lots of traditional dishes of great quality, served in a lovely, warm way. Unlike a lot of restaurants in Paphos, it is not a rip-off and you will get value for money, in convivial surroundings. Can't vouch for the vegetarian side of things, but I know they do a good meze. Ignore what it looks like from the outside - we walked by many, many times until a friend of my daughter recommended it. I'd say the same for the Windmill - The Anemomilos - just off Bar Street. Typical local restaurant with the best meze. We ate there during my honeymoon (eons ago) and my husband was vegetarian at the time and I'm sure I recall it was fine for him.
For lunches, the Pinguino cafe and the waterfront cafe where you can dive into the sea from (opposite Pizza Hut - don't know its name as it was in Greek script.) The staff were brilliant with my very hot and grouchy toddler on many an occasion and it's a fantastic setting with reasonably priced salads etc.
Have a brilliant time. Room in your suitcase?