Your post says you are connecting to "my ISP's router at my home". So it sounds like you have a conventional ISP service with a WiFi router connecting you to the Internet. This is "your router".
You router connects to an internal network, to which your workstation also connects (either by WiFi or copper drop cable), and to an external network (via fiber) which resides on the Internet. Your router routes traffic between the two networks.
Your internal network address will typically be pre-configured on your router to something like 192.168.1.0/24, meaning:
- High order bits comprising network address: 24
- Number of low order bits comprising host address: 8
- Network address: 192.168.1.0
- Network mask: 255.255.255.0
- Broadcast address: 192.168.1.255
- Host addresses: 192.168.1.1 through 192.168.1.254
- Default gateway: 192.168.1.something (usually 1 or 254)
The 192.168.1.0/24 network is reserved for private use. So you don't have to get permission to use it.
The default gateway is the IP address of your router on the internal network.
Your router will also connect to an external network. The IP address on that external network (on the Internet) is allocated by your ISP's DHCP server, and may be either static or dynamic.
If you want a static IP address on the Internet, you have to ask your ISP to supply one. They will generally charge for this service. There is no reason to have a static IP address on the Internet unless you provide services accessible from Internet, like a web server.
Your router will generally run both a firewall and a DHCP server for your internal network (different to the ISP's DHCP server mentioned above).
Your router's DHCP server will allocate an IP address (on the internal network) to internal clients like your workstation, each time they boot, and tell those clients where to direct network traffic bound for the Internet (i.e. the "default route").
The firewall will be configured, by default, to deny entry into your home network from anything originating on the Internet. It will also generally allow internal clients open outbound network connections to the Internet, without limitation. This is completely usual.
If you want to provide any Internet facing service, like a web server, you have to open up your firewall to allow entry of network connections from the Internet. You should not do this unless you understand how to manage the considerable dangers.
Many people choose to run web servers in the cloud, safely disconnected from their home network. Virtual cloud machines are cheap (starting at a few dollars a month), have firewalls configured by professionals, and can generally be re-imaged easily if they ever do get compromised.