4kv should do it. I picked a used Clarkes one up with Honda engine for 150 quid off Gumtree.
3600 watts for only the engines and then pump motor and we have over 4kv. generator should be at least 20-30% stronger then power you need.
Looking for no less then 5kv, totaly minimum.
New around 700-1000euro and around 70-100kg extra on the van.
You do not want the cheapest one on the market.