Tight Tyres

This morning I went to get my bike out the garage to find a puncture :x
Anyway, I set about repairing it only to break another tyre lever trying to get the stupid thing off the rim (and it was a decent Pedros lever too
).
Am I doing something stupidly wrong or are the beads on some tyres just too small to get on/off the rim easily. I went to a bike maintenance workshop at my local Giant shop a few months back where they showed us basics like changing tyres and it was dead easy with their tyres/rims. They even said that you should never use a tyre lever to get the tyre back on but I had absolutely no chance getting it back on unless I used one!
Help!
Anyway, I set about repairing it only to break another tyre lever trying to get the stupid thing off the rim (and it was a decent Pedros lever too

Am I doing something stupidly wrong or are the beads on some tyres just too small to get on/off the rim easily. I went to a bike maintenance workshop at my local Giant shop a few months back where they showed us basics like changing tyres and it was dead easy with their tyres/rims. They even said that you should never use a tyre lever to get the tyre back on but I had absolutely no chance getting it back on unless I used one!
Help!

0
Posts
and yes you don't need levers to put tyres on.
Parktools :?:SheldonBrown
Getting the bead off the rim was what I was having trouble with (I wasn't trying to take the tyre completely off the wheel, just one bead so I could get the inner tube out - I'm not sure I explained it properly before).
Honestly I don't think you could get it back on without levers. When I'd got about 3/4 of the bead back in, the remaining bit was like a super tight line across the wheel so I couldn't even see the rim anymore.
You DO need levers to put conti gatorskins on, especially if its a new tyre.
Owing to a visit yesterday I had to change the conti hardshell gatorskin last night....no levers used
Everyday Commuter
Putting the tyre on is the same, make sure that the first bead on is sat in the middle of the tyre, ensure that the tube is stuffed right into the top of the tyre, put the second bead on at the valve and make sure the tube isn't pinched, again ensuring that the bead is pushed as far to the middle of the wheel as possible. Work the remained of the bead onto the rim, constantly pushing it "central" and the last section should push on with both thumbs without any issues. Inflate the tube enough to push the bead towards the rim, make sure rim is seated properly, inflate fully.
And yes, I struggled like f**k and broke levers (and cut fingers and thumbs) before I learned.
Road - Wilier Izoard Centaur/Cube Agree C62 Disc
Allround - Cotic Solaris
SPA cycles have a good video.