Be careful about taking a part time job, I know that sounds crazy but with the jobs so hard to find you might find yourself unemployed longer than you think. If that happens, heavens forbid, you will have to reapply and your weekly amount will be lowered considerably. Here is a great site with lots of info & some great people.
http://unemployed-friends.forumotion.com/forum.htm
I strongly encourage you to take this advice. My husband got a part-time job after becoming unemployed and it has done nothing but cause problems. He was eligible to get training because he lost his job due to being shipped overseas. This program was for 2 years. Well, the second year of unemployment was based on his earnings during the previous year. Therefore, his second year of unemployment was less than 1/2 the first year. Whereas, all those who were laid off at the same time as him got to keep the full amount.
Not only that, he was offered another part-time job making more money than the first. He almost lost his unemployment because he "quit available work." He was never taken out of the first part-time job's computer system and was able to go back with them, keeping him on unemployment. Had his first part-time job taken him out of their system, he would have completely lost his unemployment. Mind you, he was working 10 hours a week, nothing major.
Just check into things and do not always believe what the unemployment office says--research on your own. The unemployment office told my husband that getting a PT job would help him--yeah, right.
I also agree do not buy things now that you do not need now.
It will take some time to adjust. There is a "mourning" period. Life as you know it is going to change, but you will be okay. Just know that you are not alone.
Prayers for your family.