...I cannot find the "sharp... smooth" when I go to "layer"... "type"...
You won't. PSE13 doesn't have those options.
As long as your image is big enough and Anti-Alias is turned ON then you should be fine.
As a general 'rule' ALWAYS create your image as big as your system will let you....within reason of course, you can always 'output' (Save) the image to any size afterwards when its finished...if you need to.
This will also give you the best possible working conditions.
You should know, well before starting, what the final image is to be used for and so tailor your workflow to suit.....in this case it doesn't seem to matter as this is not the image to be used anyway but if it were to be used for the printing of a large banner then you would have to make sure your image has enough pixels in it to accommodate the required print size at the required resolution.
This isn't so important with vectored shapes, such as those in Illustrator, as they are not pixel based and can be scaled to any size without worrying about how many pixels are needed to create them.
You would of course have to save that file as a vectored image and not a rasterized jpg or similar.....which just defeats the object of using vectors in the first place.
If you have a specific problem with a project then by all means post it on the forums and we'll do our best to help you.
Regards.
MrToM.