Polyester and multifilament tennis strings solve different problems. Choosing between them starts with your swing, how often you break strings and the response you want from the racket. The label on a packet is a useful starting point, but two products in the same material category can still feel very different.

What is the difference?
A typical polyester string has a single solid filament, sometimes with a shaped surface. A typical multifilament bundles many fine fibres, usually nylon-based, with bonding materials and coatings. These descriptions concern construction; they do not give a complete performance rating. Synthetic gut is another category and commonly uses a solid nylon core with outer wraps.
Polyester is generally chosen for a firmer, lower-powered response and resistance to breakage. Multifilament is commonly considered when a player wants a more forgiving feel and easier depth. Actual stiffness varies with the product, diameter, reference tension and condition of the installed string bed.
Start with the problem you are trying to solve
A recreational player who rarely breaks strings gains little from buying only for durability. If routine rally balls land short despite a relaxed, complete swing, a multifilament is a sensible option to discuss with a stringer. Conversely, a hard hitter repeatedly breaking a soft string may have a practical reason to compare a polyester setup.
A ball sailing long is not proof that you need polyester. Check preparation, contact height and racket-face angle first. Buying a string to hide an uncontrolled swing can make routine shots harder without addressing the cause.
Run a fair comparison
Use the same racket model, grip and usual balls. Write down the exact string name, diameter, stringing date and tension. Begin with normal cross-court rallies, then serves, returns and short volleys. Rate depth control, confidence on defensive shots and how much effort a rally requires.
Repeat the comparison on another day. A new string can feel impressive simply because the previous setup was worn. Ask the stringer how to compare the materials sensibly; identical tension numbers do not necessarily produce an equivalent string-bed response. Avoid changing racket, material, diameter and tension together.
Durability is more than waiting for a break
A polyester can remain unbroken after its playing response has changed. A multifilament may fray visibly before it breaks. Neither appearance alone gives a universal replacement deadline. Record changes in control, string movement and feel alongside hours played.
If hitting causes pain, stop using equipment changes as a substitute for assessing the problem. A string choice cannot diagnose or treat an injury. For an undecided player, the useful next step is one controlled trial, followed by a conversation with a competent stringer.