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Resizing is only going to be an issue if you have any "normal" rasterized layers (for example if you flattened any of the layers, or have any painted with the paintbrush type layers).
You don't need to turn text into shapes. A text layer is naturally immune to resizing problems because fonts are vector objects to begin with. So as long as your image only contains Shape Layers, Paths, and/or Text Layers then you can resize it all your want. The larger you make it the smoother any curves will be and the more crisp any lines will be (thus less of a "stair-step" effect, or as they are more affectionately known, "jaggies").
Reason for this; although you may be working with vector objects in Photoshop, it is using those object only to define and/or mask areas to paint. The actual image you see is still a regular raster (pixel based) image. No way around this...at least not using PS.
If you have a need to make documents in vector format and output them in vector format (post script, eps, etc.) for printing with a post script printer or a plotter, then you need to use an application designed for working with vectors...like Adobe Illustrator, Corel Draw, etc.
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Linear Mode
