There is no evidence of any link between the MMR vaccine and autism, and this is confirmed by many studies that have investigated this. If you wish to view these studies, you can find them here: http://vk.ovg.ox.ac.uk/vk/mmr-vaccine
There is a wide range of credible information available on the good safety record of MMR vaccine at:
www.gov.uk/government/uploads/system/uploads/attachment_data/file/147968/Green-Book-Chapter-21
It is difficult to find reliable information with social media and various news outlets. The best way to be informed is to find credible sources of information, such as the CDC, WHO, NFID or speaking to a health professional who will be able to provide you with good information.
It may be useful to look at how the misconceptions on the measles vaccination developed into the 90’s and are still having an effect today. European Centre for Disease Prevention and Control wrote an article that addresses concerns below:
https://www.ecdc.europa.eu/en/measles/prevention-and-control/addressing-misconceptions-measles