Yah, there is no issue with that, you'll just have to use adapters, like the one you have. If you check the contents of the package you purchase, you can probably get one with one adapter included, and you can use your old adapter as well to support both your monitors. (My last card came with one).
So, is GTS 450 a DVI-I? I'm pretty sure judging from the shape of its connector. But I also heard that some cards -especially AMD/ATI cards- cannot output two analog signals simultaneously. How about GTS 450?
That was my thought bystander. I have a couple of old LCD monitors and they have DVI and VGA. (No hdmi or dp.) I'm sure he means LCD and not LED. I'm also assuming they are way old. They should all come with DVI ports.
My monitors are BENQ G610HDAL and Philips 160EL. They're LED for sure, and not old since I bought them just months ago.
I know it's quite odd for a new monitor having only VGA input, but that's the most common in my country (I live in Indonesia). DVI/HDMI monitors are expensive (and rare) here
Those are the type of monitors we saw a few years ago when LCD's first started to show up. It wouldn't surprise me if those aren't the same monitors we had, that now are sold in your area.
Anyways, I've seen cards that had multiple DVI-I connections, but it was on a 690, and I know that is out of your price range. You'll just have to check what you can find, but as an alternative, you could run your 2nd monitor from a 2nd video card, which wouldn't need to be powerful, as it's just for displaying the desktop.
I did a search on Newegg (I know this isn't for you), but this card, a GTS 450, would work as it has a DVI-I (it doesn't list what type in the description, but the picture shows it), and a VGA/D-sub connection.