Wireless triggers that use radio signals is all you need. 1 trigger to transmit (goes on your camera) and another trigger to receive (connects to the PC port.. or another port on your flash). You can affix the trigger to your flash using rubber bands, velcro, or whatever you wish. Most of the time, I'll just hold the trigger connected to the flash in my hand without them being affixed together-- just not that big of a deal to me. I'll hold the flash as low or high as I want over the subject that I'm shooting without having to worry about cords, and such connecting the flash to the camera.
The same triggers you use for your flash (speed light), you can also use for studio lights. Remember the option to trigger your flash using the radio trigger, and if you have a studio strobe nearby, you can have it optically triggered whenever your flash goes off. You'll have to be in a relatively low lit area for the studio light's optical sensor to sense a flash going off though.
Radio triggers give you so many options! Be sure your set triggers use the same frequency
DO NOT BUY CHEAP TRIGGERS or any really cheap junk for your photography, as often they will give you problems down the road that you're not likely to experience with higher quality gear. Again, you're more likely to experience problems, but it doesn't mean that you will and it doesn't mean that there aren't any decent (but cheap) radio triggers out there on the market.... Personally, I'd go with Pocket Wizard or Cactus...
I highly recommend the Pocket Wizard Plus III as I've used them for a few years and older Pocket Wizards for over a decade without issue.
My advice is to go with the more mainstream triggers (e.g. Pocket Wizard, Cactus and even Godox has gotten into the game and has risen though the ranks, to name a few).
Another option is to buy triggers that allow you do both transmit OR receive (by selecting a switch) all in the same trigger, but you'll still need two of them, one set to transmit and the other to receive.
I've heard people having trouble triggering their flashes at a distance. I have never had that problem, whether I'm 1,000ft. away or around a lot of concrete, my aging Pocket Wizards haven't let me down.
Best of luck with your purchase decision- you'll love using the wireless triggers!