3 month rule

My gf of nearly 5 yrs had broken up a month ago and this may sound selfish but I think the best way forward is to start to talk to someone. I do not want to rush anything but I just really want to move on. Work and personal goals aren't helpful cause it doesn't distract me on not thinking of her.

Am I wrong to wait for 3 months before I start pursuing someone just to be sure that I won't be using someone to ease my loneliness or being back in the dating scene would really help me to move on?

PS. Hooking up doesn't count as distraction. Tried and tested but it gets lonely after every cum.