Sadly, you didn't tell us what your budget is so we really cannot provide any answers. "
Not too pricey" especially when followed by "
will not turn my head at more expensive cards", doesn't help.
Is the
$1499.99 XFX Radeon Pro Duo R9-PROD-8VRW 8GB too pricy? Yes? Well then how about
$899.99 for the GTX 980 Ti? Or were you looking for something closer to this
$18.99 (after rebate) 8400 GS?
What is totally out of the question for you may not be for someone else.
So you really need to tell us your budget. That said, just about any card will be an improvement over what you have now. For one, it likely will have a better/faster graphics processor. But also, graphics cards come with their own RAM tweaked for graphics processing. When you install the card, that will disable the on-board graphics and more importantly, free up the large chunk of system RAM previously stolen... err... "shared" for graphics processing. So in effect, you get a little boost in system RAM too - a good thing.
The second thing we need to know is the intended purpose for this card. You username suggests gaming, but without stating that, it could just be for reading emails, watching YouTube and updating Facebook. Gaming requires the best card you can afford. If not serious gaming, much lessor (and inexpensive) cards will more than do.
The good news is according to
this, your motherboard supports PCIe x 16 so that means just about any modern graphics card will be supported.
The bad news is, those same specs say that computer came with a tiny 250W power supply. And it should be noted that graphics cards are often the most power hungry components in a computer - even more than the CPU. And that power requirement goes up with the price/performance of the card.
So that means you probably (if not definitely) will need to replace the power supply before, or along with a new graphics card (unless, maybe, you get that $19 card). More bad news is HP and Dell are notorious for using proprietary components, including power supplies, on their older systems. While the specs say the motherboard is a micro-ATX, it does not say the PSU is a "standard" ATX, SFF, or low profile or proprietary.
This forum post suggests you should be able to go with a standard ATX (the most common) PSU.