There are lots of ways to get wheels off the ground for removal. Just like swing-arm maintenance, there will be lots of answers on how to do this. Do it in the way you feel is most secure.
Some tips, little things people forget, until they are in the middle of it:
1. In addition to tire removal/install tools, you need a way to balance wheels. A static balancer is fairly inexpensive and very accurate if used properly. (Race teams always static balance tires). Make sure you have wheel weights on hand.
2. New tires have colored dots on them that usually indicates the lightest point of the tire. Lots of people line this up with the tire stem, as this is usually the heavy point of wheel. Especially if you have added angle or "T" valves.
I always static spin the rim (after removing weights and replacing tire valve) to find the heavy point, then mount tire with dot at that point.
3. Brake calipers must be removed. You need to spread the pads to make this easier. There are special tools made for this, or a wide blade screwdriver carefully placed will also work.
4. Zip tie or tape a block of wood between the brake lever and handlebar, and zip tie the rear brake lever "up". This helps keep you from doing something silly, like hitting the lever when the caliper is off and popping out the caliper pistons. (Ask me how I know
5. The front brake calipers have very little clearance when removing. Place a soft cloth on top when pulling off to keep from scratching the wheel.
6. Tie up the brake calipers, do not let them hang from the hoses.
7. Do this work where the bike can be left for a period of time. While you have the wheels off, this is a good time to do things like inspect rotor thickness, brake pads, caliper piston seals (seepage), wheel bearings, steering head bearings, swing-arm bearings.
If you find additional things that need maintenance/replacement, you may need to order parts, and if it cannot be left where you have dis-assembled it, you have to re-assemble and move the bike, then start again later.
8. Slow and steady wins the race, in this case, mounts the wheels without scratches and are well balanced. No mater the means you use, take your time.