Nice to see another mom on here proclaiming her love for Christ. Amen!
We never see our friends at Easter because we are always celebrating with family BUT for the past few years off and on we've celebrated Passover with our neighbors, either with a full sit down Passover Seder dinner or just a "mini Seder" with all the elements passed around on a plate. Its a great neighborhood outreach.
Anyway, back to your question, we have BBQs w/our neighbors all the time. There's tons of things you can do to help keep kids of all ages entertained but the main thing not to plan too much that requires parental supervision/involvement like a bounce house or firecrackers. If you're looking for simple, try setting up stations around the yard like....
- water guns
-horseshoes
-bean bag toss
-bubbles basketball (hang a hula hoop like a net and try to sink your bubbles)
-color the fence with chalk
-paint the fence with cup of water and paint brushes
-marble bowling (set up some glass bottles like bowling pins and kids have to shoot marbles between bottles without hitting them
-mini golf (nail paper plates/cups on a path in the grass and have kids try to knock in plastic golf balls w/plastic golf clubs)
There's so many non TV/video game ideas out there!
One year we had a competition with the moms and dads on who could eat their large chocolate bunny the quickest (I won...yes, I'm bragging).
We love having sauce surveys at our BBQs. One year we bought different bottles of sauce and had everyone vote. Another time we bought sauce for local BBQ places around town and had a vote.
hth!