A voltmeter and ohmmeter are actually contained in the same device. Often they are called VOM (Volt-Ohmmeter) or multimeters.
When testing your appliance, keep in mind that in the US, voltage is 110 to 120 volts AC. In Europe, it is 220 volts AC.
If you don’t have an multimeter, you have three choices:
1) You can buy or borrow one. As I was writing this, I saw a couple of them online for $6 to $8. You can find them in your local hardware or department store. Sometimes you can even find them in “dollar stores” for less than that!
2) You can ask a knowledgeable friend to test it for you.
3) You can just remove the component that you need to test, and take it to a local appliance parts dealer. They can probably test it for you. If not, you can just buy replacements and install them.