The absolute maximum rating for those leds is 90 mA. All the measurements in the datasheet are done at 60mA, so you should probably run those leds at around 60-70mA, don't push them higher.
Also, note that you'd need some space around the leds to act as heatsink or design double sided pcb with lots of vias from the top side to the other side to transfer heat from the led side to the copper on the back.
Using resistors to limit the current is the most basic way of driving leds, there is some power wasted in the resistors ( p = i^2 x r = 0.063x0.063x33 ohm = 0.13w so you'd need at least 0.25-0.5w resistors)... with 15 strips, you'd waste 15x0.13w = 2 watts on the resistors alone... with a 12v 1A power supply that means you have about 80% efficiency.
From the way you wrote your message, it feels like you're a beginner so resistors is probably easiest for you.
If you're willing to experiment, I'd suggest removing the resistors and using led drivers to have finer control over the current going into the leds, and better efficiency.
There are boost led drivers that would allow you (for example) to put up to about 12 leds in series (as long as the total voltage doesn't go above around 36-38v) and drive them from low voltage like 12v at current you want without using resistors, achieving 85-90% efficiency this way. You'd need an additional inductor and maybe a couple of diodes and capacitors but in some cases it's worth it.