I hope this is not a duplicate of something as I've been searching for hours and I'm pretty confused.
So what I need to do is to have a Search Form/Block like the one the core uses (I've already themed it so if I can use the same one would be splendid, if not, no problem), who's results will be organized in a faceted sort of way kinda like this:
Results: All(100) Cakes(43) Wrappings(12) Random Stuff(25) Misc(25)
Cakes, Wrappings, Random Stuff and Misc would be Content Types, and clicking on them (links) should display in a view next to them the appropriate results (as thumbnails).
Since my Content isn't that much I'd like to avoid Solr if possible.
EDIT: In case this wasn't clear, the results are yielded according to given keywords, I don't want a simple sitemap.