buds tipping over

Might be a good idea to tie them up, especially if they're touching the ground. If they're that heavy it could be trouble if they get rained on or heavy winds. At least if you tie them up you don't have worry about them every time there's a heavy wind.

As long as they don't break off. I would stake them up if possable.

take some sort of stake and tie them upright you dont want them leaning they eventually will make there way to the ground where lots of little creatures wil devour them and not to mention a little bud rot action might occure from the moisture in the ground.