Good for you for saving the money to get your Lulu spayed. Since it looks like the “individual” animal is not important to the rest of the family, then you may have to go another route. YOU are important to your family. As a family, not everyone may agree, but YOU have saved the money for something YOU care about. They don’t have to agree with you but they can respect your feelings and reward your efforts in earning the $$. That’s pretty amazing Georgepetlover and I, myself, am very proud of you for that. That’s not easy to do under your circumstances. Are there things that your family members like, but that you don’t care that much about, but yet because you love your family, you support or help them out? You can try and use that reasoning.
If they still don’t help you, then do you have any friends or extended family that would drive you?
I am so very sorry you are in the predicament. You are doing the best you can for a valuable living being (that can live up to 10 years or more). Some people see rabbits and other small animals and easily disposable/ cheap toys. They are not toys, they are a living thing that deserves care and love and you are doing that for Lulu. Good for you.
Keep us updated. I hope there is a way to get this worked out.