Avoid the alcohol, you may get a minor sedative effect from it, but naff all pain releif.
Three things to consider:
Systemic pain relief, either paracetamol or nurofen (or branded equivalents)
Topical pain relief, either gels or inn the form of cool items such as the fridgeable teething rings.
Systemic pain relief needs to be given regularly, so as the 4 or 6 hours (8 hours for brufen) is coming up, expect the kids to be more upset & cranky, and be prepared to dose them up.
Kids also seemk prone to becoming unwell while teething, usually snots & coughs, sometimes a sore throat, so don't assume evrything is just teething, if any fever creeps in think of getting GP to see.