To the OP,
Instead of new tire irons, check out the Park Tool video on YouTube on mounting stubborn tires. Yes, today's tires are tight and all of us have had our experiences with tight tires but the tips in that video will really help.
One thing that I do over and above the tips in that video is lay the tire in the sun for a few minutes to warm up then carefully stretch it by standing on the tire and pulling with my hands. Rotate the tire and repeat, then mount the tire. Be very careful if the tire has a steel bead though, you don't want to kink the bead.
Old toe straps can help also and act as a "3rd hand" by strapping the bead in place and then work with both hands to push the bead onto the rim working toward the strap.