A bedside outlet lets a night light, a phone base, and a bed sensor plug in without a cord crossing the floor on the way to the bathroom. The job itself is simple to describe. The risk is in what the electrician finds once the wall is open. Your job before the appointment is to find out how they handle that risk, not just how quickly they can start.
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Check the license and the insurance on paper
Ask for the license number and the certificate of insurance in writing before any visit. Look up the license with the state or local licensing body yourself rather than relying on the copy they hand you. Ask who on the crew will do the work, and whether that person is the one holding the license or working under it.
Ask for a written scope
The scope should name the outlet's location, the wall it sits in, how it will be fed, and whether the wall will be opened, patched, and painted. Ask the electrician to say what they will do if they find old wiring, a shared circuit, or a box that is too small. A scope that says only install one outlet leaves all of those questions open.
Ask how they check the circuit
Ask whether they will check the circuit the outlet connects to and whether anything else already runs on it. Ask how they will tell you the result. A good answer explains the check in plain words and tells you what they will do if the check shows a problem. If the answer is vague, treat that as information about the job.
Ask for references from similar houses
Ask for two or three references from work in homes built around the same time as yours, and call them. Ask whether the work was finished on the day they said it would be, whether the wall was left in good shape, and whether they would call the same electrician again.
What to write down
Write the license number, the insurance company, the name of the person on the crew, and the answers to the circuit questions. Write the scope in the electrician's own words. If you need a list of local people to check against, Local help after a fall, St. Louis is a starting point, but confirm every name and license yourself before you sign anything.