Pour several cups to a similar strength
The first and last tea leaving a pot may differ. Mixing the finished infusion in a serving pitcher makes sharing it more straightforward.

One pot, several experiences
When you fill each cup completely before moving to the next, the first person receives the earliest part of the pour. The remaining liquid stays with the leaves longer, and the strength inside the pot may not be perfectly uniform. This is particularly noticeable with a concentrated small-pot infusion. A group can appear to disagree about a tea simply because their cups did not contain quite the same drink.
The easiest way to reduce that difference is to pour the entire finished infusion into a clean serving pitcher before filling the cups. The liquid mixes there, away from the leaves. Check that the pitcher holds the whole brew with a little headroom. An undersized receiver creates a rushed interruption halfway through the pour, which defeats the purpose and makes hot-water handling less comfortable.
Without a pitcher, share the pour
If you have only cups, distribute the tea in smaller portions, moving between them instead of filling one to the top immediately. Keep the movement steady and the cups close together on a stable surface. This is a practical approximation, not a performance that requires height or speed. Do not pour from far above the table or cross your arm over a guest to reach a distant cup.
You can also brew with a removable basket and take it out before serving. Gently mixing the finished tea, where the vessel permits it, helps distribute the infusion without continued contact with the leaves. If the pot has only a spout strainer, remember that the leaves are still inside. Serving slowly from it can continue changing the drink even though no leaf pieces reach the cups.
Make the amount comfortable
Leave space below each rim and allow people to add milk, water or other preferred additions themselves. A tasting cup need not be full to offer a useful impression. If cups have different sizes, discuss portions rather than assuming equal height means equal volume. When comparing teas as a group, use similar cups if possible and let everyone taste at a comfortable temperature. Matching the serving process removes one source of disagreement without pretending that everyone should perceive or enjoy the same flavours.