The only tools REQUIRED to change a tire on a wheel is any air pump(even a mini bike bump will work), 1 ratchet strap, preferably three, 10-24 inch tire irons, and soap. I do not know what bike you have so I can't say the tools required, usually a big wrench or ratchet and a 24mm socket for the Agility 125 rear axle nut and then 12mm for the exhaust studs.
I you are interested I have an entire photo series that I was intending to post as a tutorial. The tire changing learners curve is sharp. My first tire took 13 hours start to finish, the second 45 Min, and if we make that a straight graph the next should take about 4 seconds. If your rims are painted expect to mar the edges your first time. After a few changes you can use plastic iron protectors but they are hard to use for a beginner like myself. I believe it Is a good skill to know even if you decide for a shop change to save time in the future.
It is a great team bonding experience. I would say try it. You can take the wheels to a shop any time as Neil said(I just don't like giving them the whole bike).
P.S. If you buy an Iron three pack I would get the solid metal bar type. The ones that look like giant screwdrivers bend when you jump on them in hatred.