The Collaborative International Dictionary of English v.0.48:

Traipse \Traipse\, v. i. [Cf. G. trapsen, trappsen, trappen, to
   tread noisily, to walk stamping. See Trample, Trape.]
   To walk or run about in a slatternly, careless, or
   thoughtless manner. [Colloq.] --Pope.
   [1913 Webster] Trais

WordNet (r) 3.0 (2006):

traipse
    v 1: walk or tramp about [syn: traipse, shlep]

Moby Thesaurus II by Grady Ward, 1.0:

161 Moby Thesaurus words for "traipse":
   airing, amble, ambulate, ankle, barge, bat around, bowl along, bum,
   bundle, circumambulate, claudicate, clump, constitutional,
   count ties, crawl, creep, divagate, dogtrot, dowdy, drab, drag,
   drag along, drag out, draggle, drift, flit, flounce, foot, foot it,
   footslog, forced march, gad, gad about, gallivant, go about,
   go dead slow, go slow, go the rounds, halt, hike, hippety-hop,
   hit the road, hit the trail, hitch, hobble, hobo, hoof, hoof it,
   hop, idle, inch, inch along, jaunt, jaywalk, jog, jog on, jog-trot,
   jolt, jump, knock about, knock around, laze, leg, leg it, limp,
   lumber, lunge, lurch, march, meander, mince, mooch, mosey, mush,
   nomadize, pace, pad, paddle, parade, pedestrianize, peg,
   perambulate, peregrinate, pererrate, peripatetic journey,
   peripateticate, peripateticism, piaffe, piaffer, plod, poke,
   poke along, prance, promenade, prowl, rack, ramble, range, roam,
   roll, rove, run about, sashay, saunter, schlep, scuff, scuffle,
   scuttle, shamble, shuffle, shuffle along, sidle, single-foot, skip,
   slink, slither, slog, slouch, slut, stagger, stagger along, stalk,
   stamp, step, stomp, straddle, straggle, stray, stretch, stride,
   stroll, strut, stump, stump it, swagger, swing, tittup, toddle,
   toddle along, totter, totter along, trail, tramp, tread, trip,
   troop, trudge, turn, vagabond, vagabondize, waddle, walk,
   walk the tracks, walking tour, wamble, wander, wayfare, wiggle,
   wobble, worm, worm along