How should I tile under kitchen cabinets?
Why would you want to tile first, then lay cabinets on top of the tile? This ensures two things:


The person in the future who wants merely to replace the tile while not touching the cabinets will be cursing your soul to eternity. Remember, this might be you cursing yourself, if for some reason it turns out you need (or merely really want) to replace the tile.
That you will spend more money on tile than you need to spend. Tile is expensive, so why throw money away underneath a large block of cabinets?


Place the cabinets first, then butt the tile against them. Yes, you will be cutting some tiles to fit. Tile cutters are not difficult to use.