Most home networks computers sit behind their Routers (hardware) Firewall. Not comparing Avira to anything else, you're delusional if you see F-Secure or Trend Micro mentioned in my previous reply.
This is correct. If a software firewall is 'noisy' on a PC then it is likely you are seeing local network activity blocked, which more often than not is harmless. ARP Poisons, ICMP sweeps, SYN/FLOOD, DNLA, Plex, whatever. Those are all harmless and all part of a normal network functioning on a LAN within a subnet. You need to start asking questions if your software firewall is noisy, like why it's so false positive prone.
The primary benefit of a software firewall is application and outbound protection from applications (malicious or otherwise), not protection from other assets on the LAN. Your router will stop normal incoming attacks of merit to you in cases where no session is established. If a session is established and you come under attack then and only then will your software firewall kick in and protect you. This is what UTM/NGFW appliances also protect you from.