I agree with z1ppy above, if you’re breaking levers, that sounds like your technique for removing tyres needs looking at (you should never need them to put tyres back on).
Take the tyre completely off the wheel, and start again.
When putting tyre onto wheel. The first side/rimbead is always relatively easy to put onto wheel.
Think about it, both sides should be equally easy – the circumferences are the same.
Yet think first side, is easiest, because it’s easier to get the tyre bead, into the well of rim (middle section).
If you look at the profile of a tyre rim, it’s like you holding two fingers in the air (looks like ‘ V ‘ )
The circumference of wheel from your finger nails ( two tops of ‘ v ‘ ie the hooks ) is bigger.Than the bit between fingers ( middle/lowest point of the ‘ v ‘ ie the well of the rim).
The tyre bead, rests on the hooks of the wheel rim ( ie the top of the ‘ v ‘ ).
When taking a tyre off,
– make sure there’s no air in innertube,
– run thumb around circumference, pushing tyre bead off hooks, into the well/middle of the rim (into the smaller circumference of the wheel, to give you some slack)
– hook all three levers under tyre bead, and then lever them over rim ‘at the same time’
(doing one, and then hooking it over the spoke, just takes up the slack, making it difficult to lever the other two). There’s a knack to levering two with one hand.
(also, I find wider profile tyres, easier to fit (ie 25’s easier than 23’s). Don’t know if this is because smaller sidewalls are relatively stiffer?)