I would suggest prevention is better than anything. I use a mite treatment that goes in the drinking and bath water once a month. Red Mites are nasty things and canaries are very prone.
Your canary does not need to be hand tamed to have some excerise. They have to feed every 30 -40 minutes after being active...so may I suggest you think about letting him fly around for half an hour. I have 2 who live in my house, who aren't in my outside aviary. I let them fly around in my living room... I cover mirrors, windows, glass and dont have any house plants in this particular room..oh and place vases of flowers out of the way too...they are very inquisitive birds. My 2 are not hand tamed but they land on me, my head and shoulders...im their mum, im the feeder so they trust me..very cute. I do have a net handy for the odd awkward day. Mine fly back in their cage when they are hungry and I then close the door.
Your canary sounds well cared for but they are very inquisitive and clever little birds and get bored...
Claire