I don't think there is a worst or best brand. Depends on the laptop, how you treat it, and how up to date the specs are. I would rather buy a high end laptop at first as it is more likely to stay up to date if it has newer hardware.

I've had generally OK experience with HP computers (I've owned two in the past) ...but the thing that annoyed me to no end was the fact that buttons tend to  pop off on those keyboards.  For that reason alone I haven't considered HP again.  

The worst laptop brand (or computer brand in general) in my opinion would be Lenovo.  I was helping my co-worker set up his printer wirelessly with his Lenovo laptop and couldn't get it to connect.  I was able to connect an HP Printer fine but the Epson just would not show up on the network for some reason.  I tried calling Epson and they said it had something to do with the computer not the printer. So I called Lenovo.  Lenovo told me that it must be the router that's the issue and I told them that I was able to connect another printer fine so that's not the problem and that Epson told me that it was on the computer end.  They escalated my issue and the representative tried to tell me that I had to give them my credit card information because the support I needed will require them to control my computer from their end to fix the issue. I told him that I can do it myself if they just walk me through what I need to do and they insisted that I pay. My co-worker was ready to pay the $60 charge but I told him no. I hung up went to Best Buy and bought a $15 printer cable instead as my co-worker didn't plan on moving away from his desk much anyway when he uses the computer.  The fact that Lenovo has to outsource their customer support and users have to pay to resolve something that should be plug in play turned me off so much.