Sandra, slightly off topic...
My original engagement ring, which was antique to start with, had been rubbing on my wedding ring for years and the stone setting was looking dangerously thin and the band was getting a sharpish edge on it. Over the years my husband had bought me several rings for my other hand which I'd change according to outfit etc but then found I was using them instead of my engagement ring because I was worried about it. In the meantime I'd once had to have my wedding ring cut off when I shut my hand in the door and my fingers were swollen. That meant that when the ring was repaired some of the inscription had been lost.
For our 21st wedding anniversary we took the plunge and had some of this collection of important and sentimental jewellery smelted (?) and remade into a new set of rings. I now have 5 thin bands, 2 plain and 3 with stones that I can wear how I wish, although I always keep one of the plain bands on at all times even when swapping the other bits around. I tend to wear two plain bands side by side as my wedding ring then just add the extra stones when I want to. My husband used his wedding ring and some of my spare gold to make a bigger ring in a flatter shape to match my bands.
Anyway, long story short we are delighted with them and have never regretted it. My OH bought me a new sapphire for the anniversary too but I still have all the other stones that were removed from my other bits of jewellery and a bit of leftover gold which I intend to have made into something for our daughter on her 18th perhaps.
You can use your original wedding ring to help create your new engagement ring. It helps a little with the cost but more importantly maintains the link to your wedding day. Our man is in the south west but plenty of jewellers do this sort of service. Try and get a good craftsman/artisan if you can.
Sorry it's a bit long but hope it might be useful xx