Welcome. I too was under the impression i would save money in the long run by switching over, and like you i can already tell that is just not the case.
Once a pro, such as Lynn gets done with your Torrey, it should be a pretty decent shave, but it wouldnt hurt to get a new razor as well, especially the kit as you mentioned, so that you can get all the other goodies that come with it. I just recently went with the Dovo Best Quality kit, adding on the silvertip #1 brush, and i cant stress enough how great that discounted price is. So perhaps you can send your wife back to the spa for a day so you can talk her into letting you get the set.