Imo the single sets that have everything tend to be cheaper quality. Also it depends on your budget. My go to everyday bits are the Pilot Point Titanium from DeWalt. Use em on anything other than concrete. Amazon has them on sale now for $13 for a 21 pc set.
This is the only set I own so I’m assuming it was this one. DEWALT Titanium Drill Bit Set, Pilot Point, 21-Piece (DW1361) https://www.amazon.com/dp/B004GIO0F8/ref=cm_sw_r_cp_api_glc_fabc_T9ldGbKFEARHS
I used painters tape to protect the surrounding areas.
I've been using a regular cheap Dewalt drill set for everything link, whatever speed you feel comfortable at. If you drill enough they will dull, but mine haven't yet. Don't overthink it :)
What kind of work you doing? They have bits for all sorts of material and purposes. I have a set like this: https://www.amazon.com/DEWALT-DW1361-Titanium-Pilot-21-Piece/dp/B004GIO0F8/ref=sr_1_1?ie=UTF8&qid=1483156997&sr=8-1&keywords=dewalt+drill+bit+set It's the set I use most often for all my projects. I also have some different style sets for woodworking, plastic and metal, but these are my go to 90% of the time.
I said Carbide. I just meant hardened. This will be what you want:
https://www.amazon.com/DEWALT-DW1361-Titanium-Pilot-21-Piece/dp/B004GIO0F8
You had masonry bits which is something you don’t want for this.
Deal link: Amazon
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I think I found the kit they are, here's a link for reference: DEWALT DW1361 Titanium Pilot Point Drill Bit Set, 21-Piece https://www.amazon.com/dp/B004GIO0F8/ref=cm_sw_r_cp_apa_mVLlzb08AERJN