Hi. This really belongs on the main health forum rather than in the community and off topic one. Please be sure to post future questions there so you will get more responses.
A fructosamine test gives you the average level over a 2 to 3 week period. It can be helpful at diagnosis or in cases where a pet owner is not willing to home test.
A curve means taking a blood glucose test prior to giving an insulin shot then taking another test every two hours after that up until the next pre-shot test. This provides information on what impact an insulin dose is having. You can see when onset occurs (point when insulin begins having an impact) and when nadir occurs (lowest point in the cycle). That information is helpful in determining if a dose is appropriate or needs to change.
If you will do home testing, you should not have to have either of these things done at your vet's office on an ongoing basis. Home testing is really the only way to keep your cat safe anyway because glucose levels can change constantly.
You should be able to get the insulin a little cheaper. I suggested looking around online, maybe start with Chewy.com. I don't know what a 'ProZinc care kit' includes, but you can buy syringes from ADWDiabetes.com for a very reasonable price. You will want syringes with half unit markings, by the way, so you can make dosing changes in smaller increments. You can also find a better price on a meter!
