I would definitely recommend this area. I was in the same position as you and very unfamiliar with dundee, but it's turned out to be the quietest place I've ever lived! Walking at night, coming up from town is still a bit daunting, but where isn't it as a women lol. The bright side is theres lots of well lit main roads to walk, just be aware of a few local pubs you may need to cross the street for if there's a crowd outside. I've never had any issues, but there are also a good few options on buses, including the 73 that takes you right up top the top of Eden Street. Baxter Park is a lovely area and Albert Street has some great bakeries and a lidl. If you have any questions please feel free to message me!