New budget Gaming build

I'm building a cheap gaming rig for my buddy's daughter and I'd like to get some feedback on what I've chosen.  If any part is poor performance or if anyone can suggest a better/cheaper alternative I'd appreciate any comments you can give.

I've got a few parts I dug out of my parts bin to help save on costs.  I'd prefer not to have to replace these, but I'll welcome any comments regardless:

Nzxt Beta Evo Gaming Case with 6 120mm fans

Nzxt 600W 2.0 PSU

LG DVD-RW

Western Digital 1TB 5400RPM SATA II 32MB

Western Digital 750GB 7200RPM SATA II 32MB

What I'm thinking about adding is these:

AMD Ryzen 3 1300X Desktop Processor with Wraith Stealth Cooler - $174 CDN from Amazon - Link

Corsair Vengeance LPX 8GB DDR4 DRAM 2400MHz C16 Memory Kit - $96 CDN from Amazon - Link

Gigabyte Geforce GTX 1050 Ti 4GB Graphic Card - $200 CDN from Amazon - Link

MSI Gaming AMD Ryzen B350 DDR4 VR Ready HDMI USB 3 ATX Motherboard - $ $118 CDN from Amazon - Link

Total: $588

I know an SSD is a good idea but my buddy is trying to keep the cost down.  If anyone has suggestions on a good cheap SSD I'd be happy to hear them, maybe I can talk him around.

This isn't really part of the build, but since I'm posting anyway, I'm looking for a good lefty (or ambidextrous) gaming mouse.  I'm using the SteelSeries Sensei Raw right now and I'm not really happy with it.  Anyone have any better suggestions?

Thanks in advance.

Edited by Kuro_Neko, 09 October 2017 - 08:32 PM.

The R3-1200 comes with a cooler, is a little cheaper, and, performs just as well with a few keystrokes in the BIOS to set it to 1300X speeds...(needs B350 board to adjust multiplier upward a few notches, however, only about $60-$70)

1050Ti is a good budget gaming card for 1080P....

They should enjoy it....

Indeed the R3 1200 would be good enough for you.

But you may want to consider getting another power supply

https://www.amazon.ca/EVGA-WHITE-Warranty-Supply-100-W1-0500-KR/dp/B00H33SFJU/ref=sr_1_1?s=electronics&ie=UTF8&qid=1507634176&sr=1-1&keywords=power+supply

This will do, EVGA is known for great power supplys and for $10 more you can get this:

https://www.amazon.ca/EVGA-BRONZE-Warranty-Tester-100-B1-0600-KR/dp/B00EON40CS/ref=sr_1_2?s=electronics&ie=UTF8&qid=1507634176&sr=1-2&keywords=power+supply

The power supply is vital and the most important part of any build, I would take this over a SSD any day, and you can get your SSD at a later date.