Bebe's Search is basically going to replace Celio's Network next season, providing it will be DP-On (I mean, what else can it logically be?) and that Celio's isn't reprinted in a POP pack or something (which it shouldn't seeing as how the character is not from DP). So apart from the HORRIBLE NAME (seriously, who names their daughter Bebe?), it is a useful Supporter. It lets you exchange 1 card in your hand for a Pokemon of your choice in your deck (including Lv X cards). So basically, use Celio's for now until next September, as there's no drawbacks to using him except not being able to fetch EXs (which are dying anyways).
Modified - 8.5/10 (Will be 10/10 next season as there is no forseeable Pokemon search card like it)
Limited - 10/10 (Excellent here, being able to search out a much needed Evolution)
Unlimited - 1/10 (No use here since Celio's will be coming here anyways)