Most blinds in older houses hang from a looped cord on the side of the blind. In a room where a person spends most of the day in bed, that cord sits at the height of hands, bed rails, and the corner of a walker. Before you decide on any fix, go to the window and find out what kind of cord you have.
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.
Check what you actually have
Look for the model number on the headrail or on the back of the blind. Note whether the lift is a cord loop (two cords joined at the bottom), a continuous loop, or a pull cord with a chain. Check whether the blind is inside mount (it fits within the window frame) or outside mount. Look for a cord cleat or tension device at the side of the window. Note whether the wall behind the blind is drywall or old plaster. Those four facts decide which of the three options below is realistic.
The three options
You can shorten the cord and fasten the excess high, out of reach. This is usually the least expensive choice. It asks for a cord stop or a cleat mounted to the wall or the frame, a drill, and a careful look at where the cleat can go without crossing a light switch or the trim. Cut the loop only where the blind's instructions say cutting is safe, because some lift systems stop working when the cord length changes.
You can replace the lift with a cordless system. Many blind makers sell a retrofit kit or a new cordless unit that fits the existing headrail. Ask the seller or the maker whether your model has one, and whether the kit fits your blind without taking it down. This costs more than shortening, but nothing is left hanging.
You can hire an installer or the window company to take the blind down, make the change, and hang it again. Ask them to put in writing what they will change, whether they will patch any wall they open, who removes the old parts, and whether the blind's warranty still stands after a retrofit. Ask for the name of the person who will come to the house, not only the name of the office.
What to ask before you choose
Ask the maker whether a retrofit or cordless kit exists for your model number, and whether using it keeps the warranty. Ask any installer whether they have worked on plaster as well as drywall, and where they plan to drill. Compare the three options on three things only: how long the room is out of use, how much wall you are willing to open, and who will be standing on the step stool. Settle it before the bed is moved into that room, not after.
Window covering cord safety has its own published guidance from the Consumer Product Safety Commission. Read the guidance for your type of blind before you decide. The Sources page on this site lists the references we use for this kind of household question.