Below is pictured a typical North American US 120 VAC receptacle also know as an everyday wall outlet. 
I will respectfully disagree with Philba in that I would not switch the neutral side of your 120 VAC supply. My thinking here runs with that of the NEC (National Electric Code) US. Granted you are not doing new electrical work in a new building and you really have no need to comply with any codes. The NEC devotes an entire article (404) to switches. Article 100 provides six separate definitions for "switch," covering bypass isolation, general-use, general-use snap, isolating, motor-circuit, and transfer. Article 404 requirements apply to all switches, switching devices, and circuit breakers used as switches. Your relays will be acting as a switch by every definition of the word and with that in mind. Even when we wire, for a simple on/off operation of a 120V light, you wire the switch contacts in series with the hot lead. That is, the hot lead comes from the supply to the switch, and then goes from the switch to the light. The neutral and ground wires are not switched, though you must ground the switch body. This is done for safety reasons and the driving logic behind doing it this way is that if for any reason neutral is lost through your switching logic, in this case relay contacts, and the hot were to short to any chassis that metal box, enclosure or chassis would be floating at mains voltage. Don't shoot me as I am merely the messenger.
As to relays? You can choose whatever you like with consideration for the maximum current the relay contacts will handle and then some headroom. The relay design I mentioned earlier are not cheap relays. I like and use them. Automotive relays are also a very good and affordable choice and many can be bought with a mounting hole tab as well as easy to find sockets for. Your only concern is the contacts be able to switch 120 VAC at your current requirements.
Ron
I will respectfully disagree with Philba in that I would not switch the neutral side of your 120 VAC supply. My thinking here runs with that of the NEC (National Electric Code) US. Granted you are not doing new electrical work in a new building and you really have no need to comply with any codes. The NEC devotes an entire article (404) to switches. Article 100 provides six separate definitions for "switch," covering bypass isolation, general-use, general-use snap, isolating, motor-circuit, and transfer. Article 404 requirements apply to all switches, switching devices, and circuit breakers used as switches. Your relays will be acting as a switch by every definition of the word and with that in mind. Even when we wire, for a simple on/off operation of a 120V light, you wire the switch contacts in series with the hot lead. That is, the hot lead comes from the supply to the switch, and then goes from the switch to the light. The neutral and ground wires are not switched, though you must ground the switch body. This is done for safety reasons and the driving logic behind doing it this way is that if for any reason neutral is lost through your switching logic, in this case relay contacts, and the hot were to short to any chassis that metal box, enclosure or chassis would be floating at mains voltage. Don't shoot me as I am merely the messenger.
As to relays? You can choose whatever you like with consideration for the maximum current the relay contacts will handle and then some headroom. The relay design I mentioned earlier are not cheap relays. I like and use them. Automotive relays are also a very good and affordable choice and many can be bought with a mounting hole tab as well as easy to find sockets for. Your only concern is the contacts be able to switch 120 VAC at your current requirements.
Ron
