Unless you are willing to drive and pay some serious parking fees daily it would make no sense to drive. Really depends on your budget. Everyone in Toronto is basically looking for what you are describing so it comes at a huge premium. Based on your explanation bayview village is out. Would look at neighbourhoods close to subway lines, your budget, school district and availability. Detached adds another chunk of money to a purchase price. You are also looking for a rental home which may be tougher to find in some of the neighbourhoods because there won’t be a huge supply available.
Why would Bayview Village out? Right across is Bayview station of the Sheppard subway extension.