CG125 again!
Varradero 125 is based on the same engine as CG125 but with a bigger chasis (and better looks).
I rode 100cc 2-strokes first, Yamaha RXS100 and Suzuki GP100, lightweight, instant acceleration, brakes worse than on my MTB though. 70mph down Picadilly was possible as long as we were drinking in a pub and telling stories, otherwise more like 60mph on A40 (on the bit with 70mph limit, you know).
I also rode a 125cc 4-stroke Suzuki chopper and it was awful. A regular bike will be ok. My local garage (Blackdog Motorcycles in Staines) have a 2nd-hand 125cc Suzuki, approx. 3yo, for £800. Will last you for years.