Home Depot sells ceramic tile with the pieces attached to a mesh so it doesn't take a lot of skill to do. I would definitely attempt that before I used a peel n stick linoleum.
Just lay it all out before you start setting them in place. Also make sure that the surface is smooth so they lay flat. Allow it to dry overnight then grout. If you can fingerpaint & smear, you can grout.

There are probably tutorial videos on youtube.com
Keep in mind that you can't put ceramic tile down on just any kind of underflooring and it might be too costly and time consuming for the OP to put down cement backerboard.
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Anyhooo..... I put down the "higher end" commercial grade vinyl peel and stick tiles 10 years ago this spring (wow! I had to look up pictures to actually remember how long ago it was!). Since it is graded for commercial use, it comes with a lifetime warranty for home use.
I bought tiles that had a built-in "grout" line because to me, that is what makes traditional vinyl tiles look "cheap" is that lack of the appearance of grout.
A few pieces of advise....
the part I HATE about vinyl peel and stick the most is when you get gaps between the tile.... it looks stupid and makes it obvious that isn't a solid piece of vinyl and so much dirt gets caught in there. To prevent that, DH and I did our floor in the early spring when it was still cool out. We turned off the heat to the house and opened a few windows and put the tiles in that way (probably 60-65 degrees). Then, as the house heated up to a normal temp, it squeezed away any remaining spaces that we weren't able to avoid. Other than 2 spots where we got it a bit TOO tight and it buckled up just a bit (I was able to pull the tile off and trim it and replace it), the plan worked perfectly and we still don't have any problems with spaces or dirt in the grout lines. (Of course, we pushed the tiles together as tightly as possible too.)
PREP the underflooring WELL! The glue on the tiles we bought was heavy-duty, but we had to be sure to clean and prep the underflooring really well. We laid these tiles over cheap sheet vinyl. We used a commercial grade cleaner/stripper and then a commercial grade floor prep liquid as we went along. We have never had a tile slide or peel up, except as I mentioned above.
KNEE PADS! Buy some NOW! I had done our mudroom with these tiles on my own in a half a day (that was kind of our "test" area) without much trouble, but the kitchen/hall/half-bath area took us about a day and a half (without the kiddos around) including prep and clean-up. Our knees really appreciated the padding.
Have sharp heavy-duty shears and blades handy. That was probably the hardest part, cutting the tiles precisely. Our hands really took a beating.
Other things.....
yes, we did remove the toilet and ALL of the trim pieces, but NO we didn't remove our kitchen island or bathroom cabinet. Along the edges of these pieces I used a dark grey grout, almost the same color as the grout lines in the tile.
we did remove the metal threshold pieces between the kitchen floor areas and the carpeting and were able to replace them without having to buy new ones.
my only complaint now, after 10 years??? The tile in some areas (primarily the kitchen and not the mudroom or bathroom) has yellowed to some degree AND the texture in the tiles is holding onto some grime that doesn't come up with just regular mopping. I would personally pick another tile that is a bit smoother next time... but I went with this one for the nice mix of beiges and greys AND how well it hid the dirt (I bought a SINGLE tile before the project, threw it on the floor in the kitchen and let the family walk on it for a week before making my decision).
It can be done, it can be done on a budget, it can be done by those "less-handy" folks, and it can be done in a day or weekend. Don't be intimidated! I always figured it was a nice "temporary fix" for a few years.... but now, 10 years later, I still like it! HTH....................P