If you're all over the country, then a digital handheld trunktracker is the ticket here. With more and more systems going to P25 digital, it's hard to be able to justify doing anything else, even if it is more expensive. These handhelds will also work just fine at a race event, with a little reprogramming and a good set of headphones.
Our wiki has extensive coverage of this topic, and I would encourage you to do some research by starting here. Go to the blue toolbar under the Scanner Master ad, float your mouse over Wiki then select Wiki Homepage. On the right, toward the bottom in an area marked 'Popular Topics'
there's a link (all links are in blue, by the way) named 'Digital Trunktrackers'
This is a gathering of all the models that qualify under this topic. Of those listed, I would investigate the BCD396XT, PRO-106, or the PSR-500. The BC396 is an older version of the 396XT, and while the digital decode isn't as good as the newer models, it (along with the 3 mentioned above) will do everything you mentioned. All require the proper software, of course, and all of that is already listed in these articles. The PRO-96 isn't capable of logging hits, and while the BC296 is digital capable, it does have problems decoding certain types of VHF trunks.
If you are new to scanning, I would also spend some time in the Links for Newcomers section. One of the most intimidating issues we have to handle is the fact that newer laptops and PCs no longer have serial ports- everything needs to be done via USB, and that does add another layer of complexity. The Connecting scanners via USB article addresses this. If you don't understand how trunking works, then reading the Trunking Basics article will get you started.
Keep in mind that we have dedicated forums for Uniden, RS and GRE radios. When you purchase one of the ones above, you can use this as a source of help. Also don't ignore that we have numerous forums by state. Often the best help is help local to a given area, wherever that might be. Our Collaboration Gateway (upper left, blue box under 'Gateways') is also listed by state, and often has dedicated state email lists (particularly Yahoo groups).
73 Mike
