Will I need regular blood testing on the anticoagulant you are putting me on?

It is not unreasonable to check the complete blood count (CBC) and comprehensive metabolic panel (CMP) 1 – 2 times a year. If you are on coumadin you will need frequent blood testing about every 3 weeks. If you are on a DOAC like Apixaban or Rivaroxaban you will need blood testing less frequently (maybe every 6 months to make sure your kidney function is stable).