Synonyms for Burgle:

n.

plunder, walk off with, run away with, help yourself to something, rob, mug, loot. burgle (noun)
burglarise, burglarize, heist.

v.

break in (verb)
rob, burglarize.
rifle (verb)
plunder, loot.
rob (verb)
mug, heist.

Other synonyms:

walk off with, plunder. loot. thieve
rob.
Other relevant words:
rob, plunder, mug, burglarize, loot.