Connecting my antminer to the network

How can I get my small antminer hooked up to my network?

I'm not a miner but your question isn't specific enough. So can you describe what the problem exactly? Are you having problem connecting to internet or what?

What network? You can connect your Antminer to any pools you want listed from this link below. - https://miningpoolstats.stream/bitcoin If you mean that your network is your own full node then you would need to host a pool to mine solo in your own node. Check the guide here https://github.com/rsksmart/ckpool/blob/master/README_original.md For no hustle solo pool check this https://solo.ckpool.org/

Yea so obvious  from your reply although, I'm not a miner too but Asic is an hardware for minning  and he's probably  asking on how to get it running for minning to solve the complex hash . Besides, network there should refer to pool or if he Choose to be a solominer

I can't get my s3 connected to my router.

Do you mean you can't scan or access the dashboard of the miner? If I'm right try to factory reset the unit by holding the reset button for 5-10 seconds then release it and then try to scan the IP using angry IP to find the current IP of this unit and use that IP to access the dashboard. If you are looking for more solutions and setup guides I suggest read this [Guide] Dogie's Comprehensive Bitmain Antminer S3 Setup [HD]