I'm going to add a few ways to safely remove oil and grease before welding...
DeNatured Alcohol works great for the minor removal of oil and greasy spots...Denatured Alcohol is 100% alcohol,no water additive,so no worries of flash rust if that's one of your concerns.
Just an FYI,Distilled water will not cause rust at all,it has been De-Mineralised by the same process moonshiners use in thier stills...lol,pure water doesn't cause rust,it's the minerals in water that cause the rust process to start...you can buy Distilled water by the gallon at local stores for $0.60 to $1.00 on the average...It has to be "distilled"..not just filtered or spring water.
Any of the solvent free strong degreasers and cleaners are good safe cleaners before welding,purple power..simple green..etc etc..
I use the concentrated Dawn dishwashing liquid for cleaning and degreasing and getting rid of protective coatings before applying another coat of wax or paint sealers....this stuff is under rated as far as a good degreaser..and cheap stuff too.....
If you feel the need to use a good strong solvent based cleaner...such as Acetone,MEK...etc etc...make sure you have good ventilation,use a fan blowing the fumes away from you and have a well ventilated area to rid the fumes in your shop/garage quickly,the best way is to do it is outside with the fan blowing the fumes directly away from you.
ALWAYS use solvent/chemical safe gloves,solvents are absorbed through your skin and into your blood stream...the regular kitchen rubber gloves won't work,they'll just melt on your hands with solvents..lol
After using the solvent cleaner,wipe it all down with a little Dawn mixed in distilled water to rid any oil or grease left,then use a distilled water soaked rag to rid any film left.........
If you have any real experience at all in welding and fabrication,then you'll know just trying to grind the oil and grease with a grinder is useless...the grinding wheels,Grinding disks and sand paper just soaks up the oil and spreads it around and lubricates them..rendering them pretty much useless ..plus your just spreading the oil and grease around instead of getting rid of it............
Don't use ANY brake cleaner or carb cleaner before welding..these products are made for the purpose it's designated for ONLY..for a GOOD reason.