Hi
Rhino1616!
When you import an eps file into Photoshop, it is going to be "rasterized". You would have seen a dialogue box like this one. If you set your image resolution to somewhere between 150-300, you shouldn't have a problem with print.
However, I would suggest you'll get equally good results if you use Photoshop for both your imagery & print. At least, this is the way that I do it. Photoshop's text tools work just like vector graphics in that they are scalable without loss of quality.
Generally speaking, vector graphics are used by commercial designers because (unlike raster files) they can be scaled without any loss of quality. However, because you produced your images in Photoshop (raster images) you might not have set your image resolution high enough for print purposes.
72 ppi is fine for web, but you're going to want at least 150 for desktop printing.