Dachshunds and their hound heritage? Behaviour

hi. i have been doing alot of reading up about dachshunds since we got our new puppy brena in december. i understand dachshunds are in the "hound" family, and i wonder if this will have any effect on brena's behavior in the future. the only dogs i have owned are labs and lab mixes, never a pure bred hound type. the only hounds i am familiar with here in virginia are coonhounds, and i have only seen them kept in kennels for hunting, never as family dogs. does being a type of hunting hound (albeit very small) affect the dachshund's behavior in any way, and what sort of things should i look for as brena grows older. thank you for your time.

luckily we don't have too many small animals around here, and brena hasn't started digging...yet. i have noticed that for some reason she is somewhat put off by strange larger dogs, but she gets along great with chuk and katie, which puzzles me. still, i really don't think it is a good idea to let her off leash, since we live fairly close to a highway and railroad tracks, and i don't want her to suddenly catch a scent and run off and have something happen to her! as her tracking ability develops i really need to keep her under control. plus she is also starting to run a LOT faster outside, so better safe than sorry.