Please do yourself and your family a BIG favor and never, I repeat, NEVER, operate a chainsaw without not only chaps, but all safety equipment.
When I was young, I never heard of chaps. I once nicked my shin a little; still have the scar. I can hardly believe how lucky I have been during all those years that I didn't use safety equipment (started 50 years ago).
Now, even if I have to make a quick cut that I forgot, I still put on the safety stuff first.
It only takes a split second for something to go wrong. A hidden limb kickback, a stumble, a log or limb suddenly relieving it's stress in a surprised way.
Sure, chaps are uncomfortable, especially in summer, but compared with the agony of an injury, weeks in a hospital, big financial loss, and what about your family if it's a fatal injury ?
You may be the best in the business, have the most experience, think you're strong enough to control the saw in any circumstances, but accidents do happen and even though you may think these things may make you immune, an accident CAN happen to you !
Be safe,
Arky