The ornamental design for a needleholder with exchangeable handles, as shown and described.
FIG. 1 is a rear isometric view of a needle holder with exchangeable handles in accordance with the new design;
FIG. 2 is a left side view thereof;
FIG. 3 is a right side view thereof;
FIG. 4 is a top view thereof;
FIG. 5 is a bottom view thereof;
FIG. 6 is a front view thereof; and,
FIG. 7 is a rear view thereof.
The broken line showing of the shaft area in FIGS. 1–6 is for the purpose of illustrating environmental structure and forms no part of the claimed design.