Zenith Vs Weber

I have just started a returning to road worthiness of a 1972 109" series 3. It has been stood for 7 years. After pre start checks and help from members on this site I got the old girl turning over and eventually running!
While running, it eventually cuts out due to too much fuel; fuel is pouring from the float chamber overflow and into the engine. I'm hoping this is just the floats sticking/adjustment but if not I've seen a zenith service kit.
I was wonderering what does the kit contain and is it worth bothering with or just change out the carb for a replacement one?
I've also seen the weber replacement for the Zenith is there any benefits or advantage with the Weber?

Thanks,

Gary

If you want an advantage,fit an SU.

Dingocroft do a service kit for a Zenith, £33.60. They also have replacement Zenith's for £72.60.....

The Weber 34ICH is supposedly more economical but a bit gutless. The advantage is that parts and new carbs are still available Weber Carburettor Specialist, Weber Authorised Dealer, Fastroadcars, Weber Carbs, Fuel Accessories, Fastroadcars - Weber 34 ICH Land Rover Series 2A - 3 or Weber Carburettor Specialist, Weber Authorised Dealer, Fastroadcars, Weber Carbs, Fuel Accessories, Fastroadcars - WEBER 32/34 DMTL 6/101 LANDROVER 2250cc

I fitted a new DMTL32/34 (off a defender) I bought above and it's miles better but needed re-jetting for my engine and I had to make a cable-throttle...