I have to agree with Platinum. Right now isn't a good time to begin a new relationship. You'd be on the rebound, and that isn't fair to the new guy, nor is it fair to you.

Besides, while grieving, you're not thinking clearly and that isn't fair either. You need to be able to properly grieve, and give yourself time to heal. Grieving is hard enough without having to think of someone else's feelings as well. YOU are the only one that's important right now. You and your emotions. I'm so sorry for the loss of your dear grandmother. Please know I'm sorry.

Give yourself time before starting anew with this guy. If he waits, you'll know he really truly cares for you. If he doesn't then you'll know he wasn't THAT into you. God bless you my friend, and please take care of YOU. Gentle hugs, Lee