360 upgrade ?

Don't do it. 

I'm genuinely baffled as to how regressive this update was. I was an early adopter of Tivo - went on holiday to Arizona in 2002 and seen it and on my return bought a tivo box that I could use with UK sky. I simply can't fathom how bad this 360 experience is in comparison - the inability to control live TV, the clunky UI - I've been loyal to virgin for years - this will 100% see me leave upon contract renewal

will my series links & wish lists be saved too ?

As has already been mentioned, TiVo-software (which drives TiVo & V6) is fundamentally different to Horizon (which drives TV360). There are many functional differences, but they are different in the same way that Apple is different to Android, and Windows is different to Apple Mac.

The conversion process includes a reformat of your box's hard drive - everything is lost. Series links, recordings, the lot. Horizon-firmware quite possibly wouldn't recognise anything setup under TiVo-software.

Wish-list searches are a TiVo-specific feature and are not available on TV360. It offers keyword-searching, but my understanding is that this is similar to the keyword-searches already available on TiVo-firmware.

"If it isn't bust, don't try to fix it." 

The other question is - what do you think the 360 will give you that you don't have at the minute?

The first thing to point out is that V360 uses Liberty Global’s Horizon platform. It is a totally different animal to TiVO & is built around streaming rather than recording. Installing it involves a reformat of the hard drives, so you will lose your recordings. Horizon is a central server based system (that is used outside the UK for cloud recording), so although you will initially have two hard drive boxes, all your recordings are pooled into one list. When you set each recording you will need to specify which box you want to record on, otherwise the request will just default to the last box used for recording. When one of your boxes fails it will be replaced by a streaming box (no HDD or coax connection), so you lose half of your recording capacity. You will have to set up series links again, but you can only do this if the series is currently showing. Wishlists are unfortunately a TiVO patented feature, & therefore not available on Horizon.