The answer to 'vacuum greasy' is that vacuuming greasy surfaces can be challenging and may require special techniques. Grease and oil can quickly clog and damage a standard vacuum cleaner. The best approach is to first try to clean up as much of the grease as possible with rags or paper towels before attempting to vacuum.
If there is a significant amount of grease or the vacuum becomes clogged, it's best to stop vacuuming and call a professional cleaning service. They have the right equipment and techniques to safely and effectively clean greasy surfaces without damaging the vacuum or spreading the mess around.