If none of these materials is available to you you can always elect water leak to soak rags or towels in hot water and wrap them around the frozen pipe. This will probably take longer than any of the methods previously mentioned.
Examine the washer and replace it with a new one. Also replace screws in water line repair case they are old and damaged too. The new ones you buy should be durable and of good quality.
If you need to add copper pipe make sure that you clean the old and new pipe by using sandpaper, inside and out. If it's not clean the solder will not flow into the joint. Another tip is to not over wrap the mail threaded pipe with tape, this can cause a leak. Twice around should be enough. Also, don't over tighten it.
Service magic only let's licensed and insured tradesmen advertise on the site so that would be a great place to start. I would recommend getting at least three different quotes from different companies. This way you have an exact price of how much your works are going to cost and you will know exactly what you are getting for your money. You will also get the very best price for that work. Most plumbers will often try and sell you work that maybe you don't need as they are trying to make a living.
As with anything, when you are not sure how to fix a plumbing issue and when you don't have the proper equipment, you should contact a professional. They can usually find out what the problem is and resolve it for you in a short period of time. They will also be able to tell you if you have any other problems and water line repair they can suggest resolutions.
From your own point of view, it is important that the plumber be trustworthy and credible. Ensure the plumber comes with at least two strong references which you can verify. This will help you be more secure and suffer less anxiety.
Sometimes there can be complications of broken toilet flanges, closet bolts or rotted sub-flooring. If you find any of that in your situation, it will need to be repaired before reinstalling the toilet.