I would recommend finding an apartment to share with a $40K income.
My daughter lives in South Boston, shares an apartment with three other girls, and pays $1100/month.
S wants to sublet his share of a 4br in Somerville very close to Porter T station, if that helps anyone (PM me if you want to know more)
Very desirable area, JustaMom. Can walk to almost everything and easily get downtown.
Yes, VERY convenient (shameless plug) :">