Dad will agree to a stair lift because the stairs are the problem he can see. The removal clause is the problem you will see later, in a moving truck or a sale listing, when nobody remembers the order number. Read that page before anyone signs.
Local option: New Plan Care gives families in the St. Louis area in-home help so a parent can stay home: companionship, help with bathing and dressing, meals, and overnight care. Call (314) 405-0887.
What the install paper says about the house
Check whether the rail is fastened to the treads, the wall, or both, and whether the crew has to modify the stair structure to mount it. Ask who owns the track and the seat once they are installed. Some arrangements leave the equipment with the company and you only use it, and that changes who pays to remove it and who repairs the holes and paint. Get the answer in writing. Ask whether patching and paint restoration after removal is included or billed separately.
The move, the sale, and the stop
Look for the line about moving the unit to another house. Some contracts treat a move as a brand-new install with a new fee. Look for the service line and the response window if the lift breaks mid-run. A named window is worth more than a general promise to come out soon. Find the cancellation clause and whether a deposit is refundable if Dad changes his mind before installation day. Check whether the warranty term and any service agreement end on the same date, because a service plan that outlasts the warranty costs money for coverage you may not get.
What to ask before the crew arrives
Ask for a copy of the removal terms, the warranty term, the service phone line, and the name of the person who answers when the lift stops. Ask whether the stairs need a permit or the landlord's written consent, and who files for it. If the house is rented, the lease may settle the install question before the family does, so read the lease first.
Write the answers next to the matching clauses on the order form, then have the seller initial them. Keep the signed copy in a place the next person in the family can find without calling you.
The next move: call the company, ask for the removal clause by page number, and read it to the family before any installation date is set. The checklist on Start Here covers the rest of the paper pile.