5 weeks: Parvovirus; 6 & 9 weeks: a combination vaccine without leptospirosis (with Coronavirus if a concern); 12+ weeks Rabies; 12 & 15 weeks Combination vaccine with leptospirosis, coronavirus & Lyme (if any/all are concerns in your area-a vet would be able to counsel you); annually as an adult a good combination vaccine. (This also includes the rabies-ask for timelines from vet for the rabies, some are 3 year shots)
Call the SPCA to make sure about that, they'll be happy to let you know. They do the shots, and the spay and neuter on animals, it's cheaper than a regular vet. Hope this helps, good luck.