I'm new and need help

MC
The OP is starting out and looking at a $100 receiver. Have you no clue how to help him? Like maybe a real world suggestion?
He’s going out of a TV, not a 5 figure TT.
Or some imaginary laptop.

If your budget absolutely cannot afford an HDMI AVR, then optical is the way to go. However, if it can, then you are better using Audio Return Channel (ARC), a way for your TV to use an HDMI connection as an audio output.

Millercarbon does the same copy/paste paragraph on pretty much every new Home Theater thread just like a crusade without really listening to what the OP is asking.  Kind of gets so old that sometimes I don't reply.

The Yamaha HTR-5830 that the OP referred to is a $50-60 used item that is likely 16-20 years old.  Even the Sony STR DA-1000ES that dweller recommends is way out of the budget.

Based on this budget, I can recommend looking for some used Polk Rti4 bookshelf speakers.  They are typically $60-80 a pair used.  They actually aren't that bad for the money.

Like erik suggested, if you can't afford an HDMI audio/video receiver, it's best to try to use the optical output on the TV to connect to your old AVR (like the HTR-5830).

I dont know anything about home theater system except I need and AVR and some speakers and can connect them with either hdmi, optical, or rca cables to my tv. Im on a budget so my plan is to buy a used old avr and some bookshelf speakers for the time being and upgrade over time... I have seen a yamaha htr 58 10.0.0.0.1 30 within my price range and was thinking to go with that and connect my tv with an optical cable.

issue got solved