Any general purpose distro will work well for you. As others have said, Ubuntu and Mint are the standard recommendations.
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Additional to the Mint suggestions: Mint tones down the "Ubuntu-ness" of their default distribution, but it's still Ubuntu under the hood. LMDE is the version of Mint based on straight Debian skipping the Ubuntu "middle-man" if that sounds more appealing.
Can't speak to compatibility one way or another, though.
My computer is old and made of parts from well-known manufacturers. Everything in it is pretty well-known to the open-source community at this point, so that might well be giving me a huge advantage with regard to drivers and such. (Case in point, I have an NVIDIA graphics card and Intel i7 from the tail end of the era where people wouldn't advise you against getting either, and in fact might have outright recommended them over AMD. Yes, that old. Legacy proprietary drivers work fine for me.)
Linux mint hands down
Whatever distro looks good to you is a good place to start. Think of distros as default configurations, you can basically change most stuff whenever you want.
Avoid Arch, just in case.
Screw you, Arch is great. It's not for everybody, but if you want to know how your system is set up, decide what's running on it, and don't mind researching and maintaining your software, it's lovely.
Sincerely, I use Arch BTW
I use Arch too, friend.
Debian with GNOME
I'd agree with the choice of Debian (or a derivation as LMDE, *buntu, Linux Mint, ...), but would suggest KDE. Anyway, I think a beginner should try the distro of their choice on a live medium first to get in touch with the look and feel of the desktop environment.