Don't try and change/improve the "classic" template, it only has two functions:
1) it shows all the possible content elements you could have on the various pages so you can decide what content you would like to use on your pages.
2) its a debugging tool: to revert to when your own customisations/overrides are breaking the shop and you need to prove its in your template.
Design your shop visually in a graphics program, copy things you like from other shops, decide what content you want, where you want it etc. forget the coding until you have something you like the look of.
Then create your own template and hack it to match your design ... or get someone else to do it!
The classic template is fugly, and why not, its for display purposes only.