Using SMLLC EIN on W-9s

Hi all. I have a single member LLC that is treated as a disregarded entity. In the past, I've always filled out w-9s by entering my name on Line 1, my LLC name on Line 2 and then using my SSN. 

However I'd really like to stop giving out my SSN to so many people! I've seen it suggested on these forums that despite the instructions on the W-9, it's not actually a problem to use the SMLLC's EIN instead of the owners's SSN. 

My question for people who have done this: what name are you putting on Line 1? Your name or the name of the LLC? My instinct is to do the name of the LLC, so it matches the EIN number provided. 

Thanks for any and all advice!