The problem with using grease is that it'll stay where you put it, and not only will vibrations be more likely to cause the nuts and bolts you use it on to come loose, but dust will stick to it, potentially causing other problems.
Go to any pharmacy and buy a 3 fluid ounce bottle of glycerine for about $3. Glycerine has all of the properties of a light oil, but it's actually an alcohol and so it evaporates completely without leaving any residue.
So, you can use the glycerine as a light oil for assembling part with the knowledge that after the assembly is complete, the oil will evaporate completely so the assembly won't be affected by vibrations causing the nuts and bolts to loosen, or airborne dust sticking to and remaining on the assembled parts.
For example, supposed you wanted to push a rubber handle bar grip onto a chrome plated steel bicycle handle bar. The co-efficient of friction between rubber and steel is high, and so pushing it on without a lubricant is gonna be a fight. But, if you use a lubricant like grease, the grips will slide off as easily as they slid on. So, use glycerine as the lubricant, and then leave the grips alone for a couple of days for the glycerine to evaporate out of the microscopic gap between the steel and the rubber. That way, you enjoy the benefits of having used a lubricant to get the grips to slide on easily and the benefits of not having used a lubricant in that the grips don't slide off easily, both at the same time.
Here's another example. If you've got an old weathered wood window frame to repaint, do you repaint first and then caulk the joints, or do you caulk the joints and then paint? If you caulk first, you're going to want to tool the caulk with a soapy solution on your finger. And, if that soapy solution gets onto the old dry wood, it'll get absorbed and then the paint won't stick to that wood unless you spend a lot of time washing the residual soap out of the wood. An alternative is to tool the joint with glycerine on your fingers. Then, the glycerine will evaporate out of the wood completely over a couple of days, and you can proceed directly with painting.
Ya gotta know this stuff to be king.