I just use a reservoir (can even be another 5 gallon food grade bucket) with a submersible pump in it. The pump sends water up and into the tent through a 1/2" pvc line and out of the 1/2" line there are 1/2" to 3/16" tees that go to each drip ring. The the drain tray (in my case buckets) can have a return line in the bottom that goes back the the bottom of the reservoir and it just recirculates through the system at a rate you control with a timer. COuld use a manual timer (digital ones arent as good for this kind of application IMO) and have it come on anywhere between every 15 minutes to once a day, you get to decide.
Or.....you can just continue to hand water a couple times during the light on cycle. There are many ways to manage the plants, so you need to decide on the best grow method for you and with regards to how much time you have. I run a Deep Water recirc for the veg tent and a Deep Water UnderCurrent for flower. I could leave the country for 2 weeks and these systems would happily run along without much help (unless a power failure or something weird happens).
You can make drip rings from irrigation tubing from Home Despot or Lowes using 3/16 plastic line and tees etc. They even make controlled drippers as well as a punch to make drip holes etc.
Deep water buckets (you could just use a drain tray though):
Drip line:
Master reservoir is just a cheapo garbage can (polypropylene):
Return lines going back to reservoir (you wouldn't need but one return line from you flood and drain tray):