Upgrading my PC [ Tips / Help ] Any PC Expert there?

8GB RAM - nice upgrade.
1050Ti - nice upgrade.

like if my current system can handle the 1050

Yes, 500w is plenty, but make sure it's a decent OEM and isn't too old. If it's aged, you may wish to replace it as well. I can't stress that enough with people. The PSU is the backbone of your rig, so treat it as such.

As far as the games go, no idea what your idea of "acceptable performance" is, so can't be much help there, other than to say I know BF and Rise are both very well optimized, and PUBG is most definitely not (so you will have trouble running that one smoothly - and it relies on running smoothly.)

Have you looked at your motherboard and made sure it can handle that and future upgrades?

I'm having a 1050Ti running on a Pentium G4560 with 8GB RAM. If you are playing in 1920x1080, you can go Ultra for most of the game. I didn't try the game you mentionet above yet but I tried on Crysis 3, Lichdom: Battle Mage... with Ultra settings and get fps from 50.
Check out this posts, I find them useful for me when I build this system:
http://www.eurogamer.net/articles/digitalfoundry-2016-nvidia-geforce-gtx-1050-ti-review
https://www.techspot.com/review/1474-ryzen-vs-older-budget-cpus/

What is your money limit? Also what Windows 7, 8 or 10? Is it 32-bit or 64-bit?

I think 1050ti must be only 4gb. No liquid. Liquid for overclock i7 K and X series.
SSD good idea if U have enough of storage.
But best buy = 1060 6gb + mem 8 gb
(usd 285+60=345)

i had a 4460, it used about 90 watts at full load with igpu
i also have now a 1050ti, together with my current 2500k@4.5 it uses about 240w on full load (furmark+prime95), the 4460 was less power hungry so it should be less than that. A good 80plus certified 450w PSU should be enough, considering the efficiency lost and some headroom to juggle. That's it if you don't plan to change parts later.
About the gpu make sure to not get the low profile ones if you don't need those, i believe those can be noisier. Single Fan ones are fine on this level.

You can use pcpartpicker.com to check for compatibility. Just select your components and the system will tell you if you have compatibility problems. It will also estimate your wattage needs.

Regarding your GPU question, the Mini is fine in general. The mini versions have smaller heat sinks, possibly lower clock speeds so they don't heat up as much; they also draw less power. You can check those things comparing the normal version to the mini.
If you don't plan on overclocking and are on a tight budget it's definitely a valid choice.

Your upgrade ideas sound fine, but you could do better ;)

First off, the ram upgrade to 8gb is a must.

I'd go for an SSD instead of a bigger HDD. Believe me, it's the cheapest speed upgrade for your PC and you should favor it over having the ability to install every game at the same time. However, you'd get the most use out of it as the system drive, so if you don't think you can handle copying your current "c" drive or don't want to do a full reinstall on it, ignore this suggestion.

Currently the best bang for buck for GFX-cards are the next level up from 1050ti and I don't think your CPU should be a bottleneck. However, you probably don't want to go much more powerful than the AMD RX 470, because your CPU will start to become a bottleneck.
If you have the budget for it (and don't mind switching to AMD), definitely go for the RX 470. It gives you 50%+ more performance over the 1050ti and it shouldn't cost 50% more.

Why should you listen to me? I have been building my (and often my friends') PCs for the past 15+ years and I always keep up with what is the best bang for my buck :D