Hi Patty,
I'd be more than happy to help offer a wee bit of advice!
If you're looking to travel by rail, then you might need to make a stop at a larger city in Northern Ireland. There is a train that runs from Sligo and Belfast, though that is still an hour or two away from Bushmills. I'd suggest taking a peek at
Irish Rail's website to see what options work best for you. There's also a wonderful article about
traveling by rail, which might be able to help.
Another wonderful resource is
Translink, which can make planning your journey simple. It looks like there isn't public transport directly from Sligo to Bushmills, but you can take a bus from Sligo to Portrush, and then from Portrush to Bushmills.
Finally, on the topic of moving between the Republic of Ireland and Northern Ireland, this should be very easy. There isn't usually any need to check passports when crossing into Northern Ireland, or vice versa. That said, I would be sure to have all documents for both the Republic of Ireland and Northern Ireland on hand, just to be safe. For more on what you might need, there's another lovely article on
passports and visas that may help.
I'm just so excited to be able to welcome you this November. If you need any help planning your journey, please do let me know! I'd also just love to hear more about your plans, if you're willing.