Need to replace HP Procurve with fiber transceiver

I am a small business IT consultant that needs a little guidance as we usually don't do a ton of work with fiber lines or fiber infrastructure. I have a network with an HP Procurve 2324 J4818A that has a 100-FX SC fiber transceiver on it (J4853A). The switch and transceiver are both limited at 10/100.

How would I go about upgrading this to something with gigabit capability? Would I just need to get a gigabit switch with SFP ports and buy a fiber module for it? Any specific type of fiber module? I need to make sure that it will be compatible as this type of fiber connection is a bit before my time.

Based off my initial assumptions, I was looking at these two devices:

https://www.newegg.com/netgear-gs724tp-200nas-24-x-rj45-2-x-sfp/p/N82E16833122950?Item=N82E16833122950&Description=24%20port%20switch&cm_re=24_port%20switch-_-33-122-950-_-Product

https://www.newegg.com/tp-link-tl-sm311lm/p/N82E16833704109?Item=N82E16833704109&Description=sfp&cm_re=sfp-_-33-704-109-_-Product

Would these work?

Thanks in advance for any responses.