Your current TV is a mid range model, so to get a similar experience you'd be looking at replacing it with another mid range model today.
If you are looking for an upgraded experience, you'd need to use the new TV to display HDR material and consider a higher end TV as a replacement.
There's been a few recent threads in this section of the forum you may have read already, but are worth the read if you haven't. The general consensus is to wait to buy until Black Friday 2020 or later if you plan on buying a 2020 model, or if you want to buy now, trying to find a rare 2019 model at discount still. Those models are thin on the ground now, especially if you want another LCD TV.
Good starting point is the most recent best buy guide here. The opening post has some steps to take before picking out TV models:
My best value TVs, 2019-2020 Edition So here we are again. Its that time of year. The first time it usually becomes viable to purchase a newly released model! Please read this post before posting and asking for advice. Include all the information we need to recommend you the right TV! Before...
www.avforums.com
Most of the TVs will be out of stock now, but a few here and there may still be available. If you can't find one, best wait for Black Friday or later to buy. I'll have a new guide out by then.
Regarding freesat only LG and Samsung models have integration. Others may have satellite tuners, but no Freesat software.