"To do further research" means to gather more information, explore more sources, or conduct additional studies in order to obtain more knowledge on a particular topic or subject. Full definition
We recommend doing further research on the specific type of pocket pet you're interested in before you adopt to make sure it is suitable for you and your family. (southkendall.com)
Please do further research before trusting this, because it is VERY misleading and general research will prove it wrong. (religion.blogs.cnn.com)
Before using any of the above please do further research into the health issue of your pet, the use of the medication, dosage and ill effects, if any. (thedogplace.org)