I’m no pro since I only had started building mine a year ago, but I did some research so here I will give you advice. Go for Intel cause per core of Intel is more powerful than amd. Amd do have processors that have more cores but games today will only utilize 2 to 4 cores but other task like 3d rendering, AutoCAD, video editing will utilize more than 4 cores so if you do those things then consider amd fx proce. Amd also focus on having better integrated graphics APU which is cheaper, but in your budget you are better on buying dedicated gpu.
GPU nvidia is more expensive than amd, but amd do heat more than nvidia so IMO go for nvidia. Do not buy gddr3 cards and 2g gddr5 you can play most games today mid to high, but you said you wanted it that you can play games in 2-5 yes time so go for 4gig gddr5.
Do not skip on power supply buy true rated, ask for 80+ bronze gold plat etc seal, if it don’t have those seal they are not true rated like Korea brands. For brands I go for sea sonic but it just me.
Yes, go for ssd you will feel the diff 1-5seconds boot then your gaming.

