The Best Way To Lay A Tile Floor In The Kitchen?

Measure the room to find the center, then mark it with two lines in the shape of a cross. Lay a tile on each corner of the cross and work your way out from there, but first thing to do is measure the room to find out if you are going to have to make any cuts around the walls. If so, you want to be sure that the cuts are not going  to be too thin/narrow. If this is the case, move your centerline over a few inches to avoid this problem.
Don't know what size tile you are planning to use or the length and width of the room, so I can't figure it for you, but keep in mind the tile spacing. If you are using a 12x12 inch tile, recommend a 1/8 inch spacer.  1/4 inch spacers can be used on larger tiles such as 16x16, 18x18", etc., but if you figure the measurements and find that you will be lacking only an inch or two from the baseboards, then you can adjust the tile spacer size to make up the difference. Some tiles have the spacers incorporated into the edge of the tile, but I have only seen his on smaller tiles. Just mentioned it because I don't know what type of tile you are planning to lay.
  Also, you don't say what type of sub-floor you have, (wood or concrete).
   If your sub-floor is concrete, then you can go ahead and lay your tile on top of it using thin-set mortar mix. It can be purchased in bags that you mix yourself or in pre-mixed buckets. Recommend you use at least a 1/4 inch notched tile trowel to lay floor tile.
Always make sure that your floor is nice and level before tiling. If it isn't level, suggest you use a self-leveling compound mortar to level the floors. You can find it at most home supply stores where tile is sold. Larger tiles leave less room for an unlevel floor than smaller ones do, but larger tiles are cleaner lined looking and will give the floor space a larger feeling. Although you can use a smaller tile and use the same color grout to diminish the busy look of all those grout lines.
If your subfloor is plywood, suggest that you use the self leveling compound to skim the surface of the plywood, let it cure for about 48 hours and then lay your tile. This will provide a proper bond between floor and tile. Or you could screw backerboard over top of the plywood and lay the tile on top of it.
  Let the tile set-up overnight before grouting. You will need a grout sponge and a bucket for rinsing the sponge out. Always keep the grout sponge clean by rinsing it often during the grouting process. Grout a 3 foot by 3 ft. Area, wet the grout sponge and be sure to squeeze it out really well to avoid getting excess water into the grout, (which will cause grout cracking once it has dried). Then wipe the grout off using a circular motion. Do not press down on the sponge. You will need to go over the tile a couple three times to remove excess grout. Once you have totally grouted all the tile, let it dry overnight, then go over it again with the grout sponge and  a mixture of water and vinegar to remove the grout haze. If you find that you can't get the haze off by just using the damp sponge, you can dampen the tile, let it set for a minute or two, then use a razor scraper with a new sharp razor  in it. Gently scrape at a 45 degree angle to loosen the excess grout from the tile.
Think that pretty much covers it, but if I have missed anything or you have any more questions, just leave me a comment underneath my answer and I will try to advise you more.