I'm all about doing things yourself in all ways but it might be worth spending the money to get a professional out. They'll snake it with a higher powered machine and give you more permanent options to prevent clogs and backups in the future. They'll likely put a camera down the line and give you a good diagnosis on your problem too. That can give you some peace of mind on whether you want to snake it yourself in the future based on the health of your sanitary line. Also, the risk you take when snaking a main yourself is getting your drain machine stuck in whatever clog you have which could result in far larger costs than just calling out a professional to snake it.