Here is a video from a member on this site and it shows the steam cleaner that most members use to clean their vinyl.
mist or splatter protection is best solved by using a shield that was available on line for that exact purpose. I have one, don't remember its name. It is two shields that screw on to the record, covering both sides with a tight seal. It is acrylic with two o rings. Others must have one and they might remember its name. I recall it being about $30. I really does the job, especially if you using steam.