Thanks, everybody. I think the signs are certainly pointing to having the tile removed. I don't want to risk poor prep work.
@Matt Overbee It's $1200 in this particular case to take up the tile. I haven't gotten a formal quote from the guy who said he could install the vinyl over the tile, so I'm not sure what his figure would be for prepping. I was interested in a general sense too, though, because more and more I'm looking at potential buy-and-hold acquisitions that have hideous ceramic tile installed. All of a sudden removing tile is becoming a cost that I never dealt with when I bought my current properties years ago.
@Stephen S. The tile is just pink and ugly and I don't think it would fly with potential renters. I really grappled with holding onto it in its current state, but I'd rather spend the money now to and not have to struggle to rent it out or have to drop my price to get it rented out.
Thanks again, @Ed L. , @Randy F. , and @George P. . You have all made my decision a lot easier.