If you're going to be working in Wilmington, Bear might be a bit of a drive with traffic on Rt40.
Pike Creek (19808) and Greenville will be closer to Wilmington, a nicer environment and the rental prices are all very similar.
I think you'd probably want "Korman Residential at Brandywine Hundred" in north Wilmington, not Brandywine Wood in Bear. Google has some strange address for this community. I never ended up visiting because I work in New Castle but it was on my short list.
Korman Residential Suites • Apartments
400 Foulk Rd
Wilmington, DE 19803-3804