AFAIK you can't just point your miners to bitcoin core anymore because asics are too fast. You need to find a proxy to act as a passthrough between your miners and core. -ck used to maintain the pool/proxy/passthrough software CKPool (https://bitcointalk.org/index.php?topic=790323.0) but doesn't anymore. Not sure if you can still use it but you're probably on your own if you do so my advice would be to look for other proxy software.

If you get it all setup you also need to think about block propagation. If you rely solely on core for this you see new blocks later then major miners because they're better connected to the network, so you could be mining on worthless old block information for some time, and it could lose you a block if you do happen to find one in a race condition. Major miners use http://bitcoinrelaynetwork.org/ for this so you'll need to setup that as well.

The benefit of solo ckpool is that all the above has been done and it works (you don't want to lose a block because you configured something wrong and that is a risk you take if you don't know what you're doing). If you want to do it to learn about bitcoin etc then go for it, or better yet do it on the bitcoin test network), but it isn't as easy as it used to be before asics and large mining farms.

edit: the relay network was created by Matt Corallo, on his github (https://github.com/TheBlueMatt) you'll also find a proxy.