Simply put, yes, a dedicated graphics card should improve any issues you're having. Integrated graphics are mostly minimal (especially for gaming). What you decide to get depends on what you can afford and what you think you'll need. Graphics cards are a bit expensive right now, though, but if you want/need it, it's worth it.
I'd personally recommend NVIDIA, they're considered the top-of-the-line. Newer NVIDIA cards are coming out later this year, but it could be worth getting one now if you really need it. You can always go for AMD graphics cards, from what I can see, they generally perform a little less for a little cheaper, but I'm not very knowledgeable about them.
I wouldn't go for anything over this with your i5 4460, but you could go for less if you find it's best.
https://www.amazon.com/MSI-GAMING-GTX-1060-6G/dp/B01IEKYD5U If you don't also plan to upgrade your CPU, this is about the maximum you should get to avoid bottlenecking (one component being considerably better than the other and the lesser one restricting the performance of the other because of that).
You have to consider the brand that you get. You can always choose partially based on aesthetic if that means anything to you, but I'd choose a mainstream card like MSI/Zotac/ASUS, they will all preform well, but there are many different versions and pricing. You'll notice with the link I gave you even for the GTX 1060 from only MSI there are tons of different versions and even 3gb and 6gb varieties - all with differences in price, performance, and aesthetic.
I personally love Zotac cards, but a similarly designed MSI/ASUS card will perform about the same. I'd also personally recommend getting a setup with two fans for better cooling capabilities.
It's a lot to soak in, but it's worth looking into if you want to have a better experience with your computer. There are a lot of benchmarks available online that compare the price-performance of cards if you find the specifications hard to understand.
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