I'm obviously biased but I think you get a much better level of service from the City Council than the County. The County is a classic conservative, small government idea of a local authority which means all it really does is have a handful of staff managing contracts for services that are dished out to private sector businesses.
This generally isn't a good thing when you need good public services and proper access to them. It's less regulated, it's too competitive and it's generally a mess for everyone except the corrupt sleaze bags making money off it.
And now you've got Reform running the County it's even worse. Complaints to Leicestershire County Council have risen - no hyperbole - 1000% since Reform took over haha. They don't have a clue, they let literally anyone stand as a councillor, they had a 20 year old that doesn't believe depression is real in charge of social services. They have councillors that want to spend public money finding UFOs. They are not in any way serious.
Soulsby isn't the City Council. He's a figurehead that gets to dictate some higher level policy and decide some of the City's big projects but the vast majority of the work and services are done by apolitical local government officers and a handful of lifelong councillors who, for the most part, do generally care about their constituents.
I'd much, much rather live in a City Council area especially if I was a vulnerable person that actually needed council services.