Your motherboard has a FM2+ socket, so you can only choose CPUs which suit this particular socket and the one you have right now is relatively good (for its time period). I might've been a bit too harsh about the performance of your system, because I think it'll actually handle many games (but not the most recent ones) relatively fine on low to medium graphics settings and lower resolutions (and maybe even better, if you get a discrete GPU), but streaming is definitely a bit of a stretch here.
Potentially good "upgrade" choices can include AMD A10-7890K or AMD Athlon™ X4 880K (if you're going to use a discrete GPU, because Athlons don't have one), but these CPUs are rather hard to come by today, since they're really outdated, and you might find them only on the second-hand market [=used before].
If you want a bigger list of available options - https://www.cpu-list.com/fm2-cpu-list/ - here you can view all the processors for FM2+ socket to consider. Basic explanation for the list: the higher the number in the name of a CPU the better its performance is (presumably).
And don't forget to consider the required power output for all of the new parts - check if your PSU is enough to meet the demands of this upgrade.
I'd really suggest you save some money and consider buying a completely new system with more up-to-date specifications.
W10Pro (22H2)|Kingston A400 240G|ASRock B550 Phantom Gaming 4 (L2.71)|Ryzen 5 5600|ID-Cooling SE-225-XT Black V2|nVidia RTX 3070 FE 8Gb|XPG GAMMIX D10 [2x8GB] DDR4 3200MHz (XMP)|DeepCool PK700D
