Given your situation with taking anticoagulants, it is important to be cautious with the type of pain relief medications you can take. It is advisable to avoid anti-inflammatories and opioids in the long term due to potential risks. A good initial approach for managing your back pain may involve muscle exercises and thoughtful movements tailored to your condition. Consulting a physiotherapist for personalized exercise recommendations could greatly benefit your condition without causing further issues. It is recommended to focus on exercise as a first step before considering other medication options.