Gelding Horse (Igo)

Curious if there’s a gelding that meets our requirements for the budget we have.
Not in a rush to find the perfect one .
Should be at least 14.
3ish Hh and under prefer not more than 16ish HH.
Mid age and prefer a gelding .
Must haves: -Kid safe , since it’ll be more for my 8year old because sissy’s pony is too small for him but also for us adults -Husband safe -No spook , bite or kick - awesome on trails , walks over water etc.
- good on barefoot - easy to handle - super sweet - more whoa than go - beginners safe ( first timers ) - good with all other animals - healthy no health issues or allergies Our budget would be 3k.
Prefer to stay under but for the right one will consider to go over my budget a bit.
Thank you for looking .